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1,016,960

1,016,960 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,016,960 (one million sixteen thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 7 × 227. Its proper divisors sum to 1,773,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8480.

Abundant Number Arithmetic Number Flippable Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
696,101
Flips to (rotate 180°)
969,101
Recamán's sequence
a(366,811) = 1,016,960
Square (n²)
1,034,207,641,600
Cube (n³)
1,051,747,803,201,536,000
Divisor count
64
σ(n) — sum of divisors
2,790,720
φ(n) — Euler's totient
347,136
Sum of prime factors
253

Primality

Prime factorization: 2 7 × 5 × 7 × 227

Nearest primes: 1,016,959 (−1) · 1,016,971 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 64 · 70 · 80 · 112 · 128 · 140 · 160 · 224 · 227 · 280 · 320 · 448 · 454 · 560 · 640 · 896 · 908 · 1120 · 1135 · 1589 · 1816 · 2240 · 2270 · 3178 · 3632 · 4480 · 4540 · 6356 · 7264 · 7945 · 9080 · 12712 · 14528 · 15890 · 18160 · 25424 · 29056 · 31780 · 36320 · 50848 · 63560 · 72640 · 101696 · 127120 · 145280 · 203392 · 254240 · 508480 (half) · 1016960
Aliquot sum (sum of proper divisors): 1,773,760
Factor pairs (a × b = 1,016,960)
1 × 1016960
2 × 508480
4 × 254240
5 × 203392
7 × 145280
8 × 127120
10 × 101696
14 × 72640
16 × 63560
20 × 50848
28 × 36320
32 × 31780
35 × 29056
40 × 25424
56 × 18160
64 × 15890
70 × 14528
80 × 12712
112 × 9080
128 × 7945
140 × 7264
160 × 6356
224 × 4540
227 × 4480
280 × 3632
320 × 3178
448 × 2270
454 × 2240
560 × 1816
640 × 1589
896 × 1135
908 × 1120
First multiples
1,016,960 · 2,033,920 (double) · 3,050,880 · 4,067,840 · 5,084,800 · 6,101,760 · 7,118,720 · 8,135,680 · 9,152,640 · 10,169,600

Sums & aliquot sequence

As consecutive integers: 203,390 + 203,391 + 203,392 + 203,393 + 203,394 145,277 + 145,278 + … + 145,283 29,039 + 29,040 + … + 29,073 4,367 + 4,368 + … + 4,593
Aliquot sequence: 1,016,960 1,773,760 2,651,936 3,315,424 4,749,584 5,767,600 8,090,020 10,094,300 11,810,548 9,416,784 16,782,928 17,446,032 31,921,468 24,614,732 18,461,056 18,534,344 17,124,856 — unresolved within range

Continued fraction of √n

√1,016,960 = [1008; (2, 3, 1, 125, 3, 1, 1, 1, 1, 503, 1, 1, 1, 1, 3, 125, 1, 3, 2, 2016)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million sixteen thousand nine hundred sixty
Ordinal
1016960th
Binary
11111000010010000000
Octal
3702200
Hexadecimal
0xF8480
Base64
D4SA
One's complement
4,293,950,335 (32-bit)
Scientific notation
1.01696 × 10⁶
As a duration
1,016,960 s = 11 days, 18 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 1220200000012
quaternary (4) 3320102000
quinary (5) 230020320
senary (6) 33444052
septenary (7) 11433620
nonary (9) 1820005
undecimal (11) 63506a
duodecimal (12) 410628
tridecimal (13) 297b69
tetradecimal (14) 1c6880
pentadecimal (15) 1514c5

As an angle

1,016,960° = 2,824 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零一萬六千九百六十
Chinese (financial)
壹佰零壹萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠١٦٩٦٠ Devanagari १०१६९६० Bengali ১০১৬৯৬০ Tamil ௧௦௧௬௯௬௦ Thai ๑๐๑๖๙๖๐ Tibetan ༡༠༡༦༩༦༠ Khmer ១០១៦៩៦០ Lao ໑໐໑໖໙໖໐ Burmese ၁၀၁၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016960, here are decompositions:

  • 13 + 1016947 = 1016960
  • 19 + 1016941 = 1016960
  • 31 + 1016929 = 1016960
  • 79 + 1016881 = 1016960
  • 211 + 1016749 = 1016960
  • 223 + 1016737 = 1016960
  • 229 + 1016731 = 1016960
  • 271 + 1016689 = 1016960

Showing the first eight; more decompositions exist.

Hex color
#0F8480
RGB(15, 132, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.128.

Address
0.15.132.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.132.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 6960 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6960-10-01 (MMDYYYY (US, single-digit day))
  • 6960-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,016,960 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1016960 first appears in π at position 168,843 of the decimal expansion (the 168,843ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.