Live analysis

1,013,140

1,013,140 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.).

1,013,140 (one million thirteen thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 179 × 283. Its proper divisors sum to 1,133,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7594.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,128 1,013,129 1,013,130 1,013,131 1,013,132 1,013,133 1,013,134 1,013,135 1,013,136 1,013,137 1,013,138 1,013,139 1,013,140 1,013,141 1,013,142 1,013,143 1,013,144 1,013,145 1,013,146 1,013,147 1,013,148 1,013,149 1,013,150 1,013,151 1,013,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 413,101
Square (n²): 1,026,452,659,600
Cube (n³): 1,039,940,247,547,144,000
Divisor count: 24
σ(n) — sum of divisors: 2,147,040
φ(n) — Euler's totient: 401,568
Sum of prime factors: 471

Primality

Prime factorization: 2 ² × 5 × 179 × 283

Nearest primes: 1,013,063 (−77) · 1,013,143 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 179 · 283 · 358 · 566 · 716 · 895 · 1132 · 1415 · 1790 · 2830 · 3580 · 5660 · 50657 · 101314 · 202628 · 253285 · 506570 (half) · 1013140

Aliquot sum (sum of proper divisors): 1,133,900

Factor pairs (a × b = 1,013,140)

1 × 1013140

2 × 506570

4 × 253285

5 × 202628

10 × 101314

20 × 50657

179 × 5660

283 × 3580

358 × 2830

566 × 1790

716 × 1415

895 × 1132

First multiples

1,013,140 · 2,026,280 (double) · 3,039,420 · 4,052,560 · 5,065,700 · 6,078,840 · 7,091,980 · 8,105,120 · 9,118,260 · 10,131,400

Sums & aliquot sequence

As consecutive integers: 202,626 + 202,627 + 202,628 + 202,629 + 202,630 126,639 + 126,640 + … + 126,646 25,309 + 25,310 + … + 25,348 5,571 + 5,572 + … + 5,749

Aliquot sequence: 1,013,140 → 1,133,900 → 1,678,420 → 1,846,304 → 1,788,670 → 1,678,850 → 1,443,904 → 2,140,544 → 2,735,056 → 2,596,944 → 5,259,696 → 9,374,784 → 15,667,584 → 25,950,456 → 57,390,984 → 124,807,416 → 197,972,184 — unresolved within range

Continued fraction of √n

√1,013,140 = [1006; (1, 1, 4, 1, 1, 1, 5, 2, 3, 2, 4, 2, 5, 1, 16, 13, 1, 11, 1, 1, 2, 1, 5, 3, …)]

Representations

In words: one million thirteen thousand one hundred forty
Ordinal: 1013140th
Binary: 11110111010110010100
Octal: 3672624
Hexadecimal: 0xF7594
Base64: D3WU
One's complement: 4,293,954,155 (32-bit)
Scientific notation: 1.01314 × 10⁶
As a duration: 1,013,140 s = 11 days, 17 hours, 25 minutes, 40 seconds

In other bases

ternary (3) 1220110202201

quaternary (4) 3313112110

quinary (5) 224410030

senary (6) 33414244

septenary (7) 11416522

nonary (9) 1813681

undecimal (11) 632207

duodecimal (12) 40a384

tridecimal (13) 2961bb

tetradecimal (14) 1c5312

pentadecimal (15) 1502ca

As an angle

1,013,140° = 2,814 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千一百四十
Chinese (financial): 壹佰零壹萬參仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣١٤٠ Devanagari १०१३१४० Bengali ১০১৩১৪০ Tamil ௧௦௧௩௧௪௦ Thai ๑๐๑๓๑๔๐ Tibetan ༡༠༡༣༡༤༠ Khmer ១០១៣១៤០ Lao ໑໐໑໓໑໔໐ Burmese ၁၀၁၃၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013140, here are decompositions:

131 + 1013009 = 1013140
137 + 1013003 = 1013140
173 + 1012967 = 1013140
311 + 1012829 = 1013140
389 + 1012751 = 1013140
419 + 1012721 = 1013140
449 + 1012691 = 1013140
461 + 1012679 = 1013140

Showing the first eight; more decompositions exist.

Hex color

#0F7594

RGB(15, 117, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.148.

Address: 0.15.117.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.148

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3140-10-01 (MMDYYYY (US, single-digit day))
3140-01-10 (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 1,013,140 and was likely granted around 1911.

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

Look up US1,013,140 on Google Patents ↗ Look up on USPTO ↗