Live analysis

130,720

130,720 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.).

130,720 (one hundred thirty thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 19 × 43. Its proper divisors sum to 201,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

130,708 130,709 130,710 130,711 130,712 130,713 130,714 130,715 130,716 130,717 130,718 130,719 130,720 130,721 130,722 130,723 130,724 130,725 130,726 130,727 130,728 130,729 130,730 130,731 130,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 27,031
Square (n²): 17,087,718,400
Cube (n³): 2,233,706,549,248,000
Divisor count: 48
σ(n) — sum of divisors: 332,640
φ(n) — Euler's totient: 48,384
Sum of prime factors: 77

Primality

Prime factorization: 2 ⁵ × 5 × 19 × 43

Nearest primes: 130,699 (−21) · 130,729 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 38 · 40 · 43 · 76 · 80 · 86 · 95 · 152 · 160 · 172 · 190 · 215 · 304 · 344 · 380 · 430 · 608 · 688 · 760 · 817 · 860 · 1376 · 1520 · 1634 · 1720 · 3040 · 3268 · 3440 · 4085 · 6536 · 6880 · 8170 · 13072 · 16340 · 26144 · 32680 · 65360 (half) · 130720

Aliquot sum (sum of proper divisors): 201,920

Factor pairs (a × b = 130,720)

1 × 130720

2 × 65360

4 × 32680

5 × 26144

8 × 16340

10 × 13072

16 × 8170

19 × 6880

20 × 6536

32 × 4085

38 × 3440

40 × 3268

43 × 3040

76 × 1720

80 × 1634

86 × 1520

95 × 1376

152 × 860

160 × 817

172 × 760

190 × 688

215 × 608

304 × 430

344 × 380

First multiples

130,720 · 261,440 (double) · 392,160 · 522,880 · 653,600 · 784,320 · 915,040 · 1,045,760 · 1,176,480 · 1,307,200

Sums & aliquot sequence

As consecutive integers: 26,142 + 26,143 + 26,144 + 26,145 + 26,146 6,871 + 6,872 + … + 6,889 3,019 + 3,020 + … + 3,061 2,011 + 2,012 + … + 2,074

Aliquot sequence: 130,720 → 201,920 → 279,664 → 398,864 → 384,940 → 466,820 → 571,924 → 428,950 → 405,818 → 326,746 → 233,414 → 116,710 → 112,682 → 58,294 → 29,150 → 31,114 → 16,694 — unresolved within range

Continued fraction of √n

√130,720 = [361; (1, 1, 4, 3, 2, 7, 10, 19, 1, 79, 2, 1, 1, 6, 1, 13, 1, 7, 1, 179, 1, 7, 1, 13, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand seven hundred twenty
Ordinal: 130720th
Binary: 11111111010100000
Octal: 377240
Hexadecimal: 0x1FEA0
Base64: Af6g
One's complement: 4,294,836,575 (32-bit)
Scientific notation: 1.3072 × 10⁵
As a duration: 130,720 s = 1 day, 12 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 20122022111

quaternary (4) 133322200

quinary (5) 13140340

senary (6) 2445104

septenary (7) 1053052

nonary (9) 218274

undecimal (11) 8a237

duodecimal (12) 63794

tridecimal (13) 47665

tetradecimal (14) 358d2

pentadecimal (15) 28aea

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρλψκʹ
Mayan (base 20): 𝋰·𝋦·𝋰·𝋠
Chinese: 一十三萬零七百二十
Chinese (financial): 壹拾參萬零柒佰貳拾

In other modern scripts

Eastern Arabic ١٣٠٧٢٠ Devanagari १३०७२० Bengali ১৩০৭২০ Tamil ௧௩௦௭௨௦ Thai ๑๓๐๗๒๐ Tibetan ༡༣༠༧༢༠ Khmer ១៣០៧២០ Lao ໑໓໐໗໒໐ Burmese ၁၃၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130720, here are decompositions:

71 + 130649 = 130720
89 + 130631 = 130720
101 + 130619 = 130720
131 + 130589 = 130720
167 + 130553 = 130720
173 + 130547 = 130720
197 + 130523 = 130720
251 + 130469 = 130720

Showing the first eight; more decompositions exist.

Hex color

#01FEA0

RGB(1, 254, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.160.

Address: 0.1.254.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.254.160

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 130,720 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 US130,720 on Google Patents ↗ Look up on USPTO ↗