number.wiki
Live analysis

1,015,140

1,015,140 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.).

1,015,140 (one million fifteen thousand one hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 2,417. Its proper divisors sum to 2,234,652, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7D64.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
415,101
Recamán's sequence
a(364,587) = 1,015,140
Square (n²)
1,030,509,219,600
Cube (n³)
1,046,111,129,184,744,000
Divisor count
48
σ(n) — sum of divisors
3,249,792
φ(n) — Euler's totient
231,936
Sum of prime factors
2,436

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 2417

Nearest primes: 1,015,139 (−1) · 1,015,159 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 60 · 70 · 84 · 105 · 140 · 210 · 420 · 2417 · 4834 · 7251 · 9668 · 12085 · 14502 · 16919 · 24170 · 29004 · 33838 · 36255 · 48340 · 50757 · 67676 · 72510 · 84595 · 101514 · 145020 · 169190 · 203028 · 253785 · 338380 · 507570 (half) · 1015140
Aliquot sum (sum of proper divisors): 2,234,652
Factor pairs (a × b = 1,015,140)
1 × 1015140
2 × 507570
3 × 338380
4 × 253785
5 × 203028
6 × 169190
7 × 145020
10 × 101514
12 × 84595
14 × 72510
15 × 67676
20 × 50757
21 × 48340
28 × 36255
30 × 33838
35 × 29004
42 × 24170
60 × 16919
70 × 14502
84 × 12085
105 × 9668
140 × 7251
210 × 4834
420 × 2417
First multiples
1,015,140 · 2,030,280 (double) · 3,045,420 · 4,060,560 · 5,075,700 · 6,090,840 · 7,105,980 · 8,121,120 · 9,136,260 · 10,151,400

Sums & aliquot sequence

As consecutive integers: 338,379 + 338,380 + 338,381 203,026 + 203,027 + 203,028 + 203,029 + 203,030 145,017 + 145,018 + … + 145,023 126,889 + 126,890 + … + 126,896
Aliquot sequence: 1,015,140 2,234,652 3,893,988 6,592,796 6,661,060 9,668,540 13,536,292 16,461,788 16,793,476 18,139,772 18,263,812 18,263,868 32,010,132 63,985,740 156,537,780 344,384,460 923,663,412 — unresolved within range

Continued fraction of √n

√1,015,140 = [1007; (1, 1, 5, 1, 1, 16, 8, 1, 14, 2, 33, 1, 2, 31, 6, 1, 2, 2, 2, 1, 1, 2, 1, 2, …)]

Representations

In words
one million fifteen thousand one hundred forty
Ordinal
1015140th
Binary
11110111110101100100
Octal
3676544
Hexadecimal
0xF7D64
Base64
D31k
One's complement
4,293,952,155 (32-bit)
Scientific notation
1.01514 × 10⁶
As a duration
1,015,140 s = 11 days, 17 hours, 59 minutes
In other bases
ternary (3) 1220120111210
quaternary (4) 3313311210
quinary (5) 224441030
senary (6) 33431420
septenary (7) 11425410
nonary (9) 1816453
undecimal (11) 633765
duodecimal (12) 40b570
tridecimal (13) 297099
tetradecimal (14) 1c5d40
pentadecimal (15) 150bb0

As an angle

1,015,140° = 2,819 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬五千一百四十
Chinese (financial)
壹佰零壹萬伍仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٠١٥١٤٠ Devanagari १०१५१४० Bengali ১০১৫১৪০ Tamil ௧௦௧௫௧௪௦ Thai ๑๐๑๕๑๔๐ Tibetan ༡༠༡༥༡༤༠ Khmer ១០១៥១៤០ Lao ໑໐໑໕໑໔໐ Burmese ၁၀၁၅၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015140, here are decompositions:

  • 13 + 1015127 = 1015140
  • 17 + 1015123 = 1015140
  • 43 + 1015097 = 1015140
  • 47 + 1015093 = 1015140
  • 59 + 1015081 = 1015140
  • 67 + 1015073 = 1015140
  • 73 + 1015067 = 1015140
  • 79 + 1015061 = 1015140

Showing the first eight; more decompositions exist.

Hex color
#0F7D64
RGB(15, 125, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.100.

Address
0.15.125.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.125.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 5140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5140-10-01 (MMDYYYY (US, single-digit day))
  • 5140-01-10 (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 1,015,140 and was likely granted around 1911.

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

Related reading

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