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1,010,464

1,010,464 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.).

1,010,464 (one million ten thousand four hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 13 × 347. Its proper divisors sum to 1,445,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6B20.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
4,640,101
Square (n²)
1,021,037,495,296
Cube (n³)
1,031,721,631,646,777,344
Divisor count
48
σ(n) — sum of divisors
2,455,488
φ(n) — Euler's totient
398,592
Sum of prime factors
377

Primality

Prime factorization: 2 5 × 7 × 13 × 347

Nearest primes: 1,010,461 (−3) · 1,010,467 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 52 · 56 · 91 · 104 · 112 · 182 · 208 · 224 · 347 · 364 · 416 · 694 · 728 · 1388 · 1456 · 2429 · 2776 · 2912 · 4511 · 4858 · 5552 · 9022 · 9716 · 11104 · 18044 · 19432 · 31577 · 36088 · 38864 · 63154 · 72176 · 77728 · 126308 · 144352 · 252616 · 505232 (half) · 1010464
Aliquot sum (sum of proper divisors): 1,445,024
Factor pairs (a × b = 1,010,464)
1 × 1010464
2 × 505232
4 × 252616
7 × 144352
8 × 126308
13 × 77728
14 × 72176
16 × 63154
26 × 38864
28 × 36088
32 × 31577
52 × 19432
56 × 18044
91 × 11104
104 × 9716
112 × 9022
182 × 5552
208 × 4858
224 × 4511
347 × 2912
364 × 2776
416 × 2429
694 × 1456
728 × 1388
First multiples
1,010,464 · 2,020,928 (double) · 3,031,392 · 4,041,856 · 5,052,320 · 6,062,784 · 7,073,248 · 8,083,712 · 9,094,176 · 10,104,640

Sums & aliquot sequence

As consecutive integers: 144,349 + 144,350 + … + 144,355 77,722 + 77,723 + … + 77,734 15,757 + 15,758 + … + 15,820 11,059 + 11,060 + … + 11,149
Aliquot sequence: 1,010,464 1,445,024 1,806,784 2,440,096 2,363,906 1,378,294 694,226 427,258 262,970 210,394 110,726 96,634 56,006 30,178 15,902 7,954 4,394 — unresolved within range

Continued fraction of √n

√1,010,464 = [1005; (4, 1, 1, 2, 1, 1, 1, 19, 2, 8, 2, 19, 1, 1, 1, 2, 1, 1, 4, 2010)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand four hundred sixty-four
Ordinal
1010464th
Binary
11110110101100100000
Octal
3665440
Hexadecimal
0xF6B20
Base64
D2sg
One's complement
4,293,956,831 (32-bit)
Scientific notation
1.010464 × 10⁶
As a duration
1,010,464 s = 11 days, 16 hours, 41 minutes, 4 seconds
In other bases
ternary (3) 1220100002121
quaternary (4) 3312230200
quinary (5) 224313324
senary (6) 33354024
septenary (7) 11405650
nonary (9) 1810077
undecimal (11) 6301a4
duodecimal (12) 408914
tridecimal (13) 294c10
tetradecimal (14) 1c4360
pentadecimal (15) 14e5e4

As an angle

1,010,464° = 2,806 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬零四百六十四
Chinese (financial)
壹佰零壹萬零肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١٠٤٦٤ Devanagari १०१०४६४ Bengali ১০১০৪৬৪ Tamil ௧௦௧௦௪௬௪ Thai ๑๐๑๐๔๖๔ Tibetan ༡༠༡༠༤༦༤ Khmer ១០១០៤៦៤ Lao ໑໐໑໐໔໖໔ Burmese ၁၀၁၀၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010464, here are decompositions:

  • 3 + 1010461 = 1010464
  • 41 + 1010423 = 1010464
  • 53 + 1010411 = 1010464
  • 83 + 1010381 = 1010464
  • 107 + 1010357 = 1010464
  • 167 + 1010297 = 1010464
  • 173 + 1010291 = 1010464
  • 227 + 1010237 = 1010464

Showing the first eight; more decompositions exist.

Hex color
#0F6B20
RGB(15, 107, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.32.

Address
0.15.107.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.107.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 0464 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0464-10-01 (MMDYYYY (US, single-digit day))
  • 0464-01-10 (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 1,010,464 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 1010464 first appears in π at position 450,969 of the decimal expansion (the 450,969ordinal-suffix:th 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°.