Live analysis

130,740

130,740 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.).

130,740 (one hundred thirty thousand seven hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 2,179. Its proper divisors sum to 235,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEB4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

130,728 130,729 130,730 130,731 130,732 130,733 130,734 130,735 130,736 130,737 130,738 130,739 130,740 130,741 130,742 130,743 130,744 130,745 130,746 130,747 130,748 130,749 130,750 130,751 130,752

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 47,031
Square (n²): 17,092,947,600
Cube (n³): 2,234,731,969,224,000
Divisor count: 24
σ(n) — sum of divisors: 366,240
φ(n) — Euler's totient: 34,848
Sum of prime factors: 2,191

Primality

Prime factorization: 2 ² × 3 × 5 × 2179

Nearest primes: 130,729 (−11) · 130,769 (+29)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 2179 · 4358 · 6537 · 8716 · 10895 · 13074 · 21790 · 26148 · 32685 · 43580 · 65370 (half) · 130740

Aliquot sum (sum of proper divisors): 235,500

Factor pairs (a × b = 130,740)

1 × 130740

2 × 65370

3 × 43580

4 × 32685

5 × 26148

6 × 21790

10 × 13074

12 × 10895

15 × 8716

20 × 6537

30 × 4358

60 × 2179

First multiples

130,740 · 261,480 (double) · 392,220 · 522,960 · 653,700 · 784,440 · 915,180 · 1,045,920 · 1,176,660 · 1,307,400

Sums & aliquot sequence

As consecutive integers: 43,579 + 43,580 + 43,581 26,146 + 26,147 + 26,148 + 26,149 + 26,150 16,339 + 16,340 + … + 16,346 8,709 + 8,710 + … + 8,723

Aliquot sequence: 130,740 → 235,500 → 454,644 → 717,072 → 1,135,488 → 1,881,672 → 3,353,208 → 5,302,152 → 9,426,648 → 19,960,872 → 32,112,408 → 49,272,792 → 74,106,408 → 111,159,672 → 191,284,008 → 307,719,192 → 535,199,208 — unresolved within range

Continued fraction of √n

√130,740 = [361; (1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 44, 2, 9, 48, 9, 2, 44, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand seven hundred forty
Ordinal: 130740th
Binary: 11111111010110100
Octal: 377264
Hexadecimal: 0x1FEB4
Base64: Af60
One's complement: 4,294,836,555 (32-bit)
Scientific notation: 1.3074 × 10⁵
As a duration: 130,740 s = 1 day, 12 hours, 19 minutes

In other bases

ternary (3) 20122100020

quaternary (4) 133322310

quinary (5) 13140430

senary (6) 2445140

septenary (7) 1053111

nonary (9) 218306

undecimal (11) 8a255

duodecimal (12) 637b0

tridecimal (13) 4767c

tetradecimal (14) 35908

pentadecimal (15) 28b10

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλψμʹ
Mayan (base 20): 𝋰·𝋦·𝋱·𝋠
Chinese: 一十三萬零七百四十
Chinese (financial): 壹拾參萬零柒佰肆拾

In other modern scripts

Eastern Arabic ١٣٠٧٤٠ Devanagari १३०७४० Bengali ১৩০৭৪০ Tamil ௧௩௦௭௪௦ Thai ๑๓๐๗๔๐ Tibetan ༡༣༠༧༤༠ Khmer ១៣០៧៤០ Lao ໑໓໐໗໔໐ Burmese ၁၃၀၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130740, here are decompositions:

11 + 130729 = 130740
41 + 130699 = 130740
47 + 130693 = 130740
53 + 130687 = 130740
59 + 130681 = 130740
83 + 130657 = 130740
89 + 130651 = 130740
97 + 130643 = 130740

Showing the first eight; more decompositions exist.

Hex color

#01FEB4

RGB(1, 254, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.180.

Address: 0.1.254.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.254.180

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

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 130,740 and was likely granted around 1872.

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

Look up US130,740 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 130740 first appears in π at position 829,939 of the decimal expansion (the 829,939ordinal-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.

Look up 130740 on Pi Search ↗