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130,624

130,624 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.).

130,624 (one hundred thirty thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 13 × 157. Its proper divisors sum to 150,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE40.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
426,031
Square (n²)
17,062,629,376
Cube (n³)
2,228,788,899,610,624
Divisor count
28
σ(n) — sum of divisors
280,924
φ(n) — Euler's totient
59,904
Sum of prime factors
182

Primality

Prime factorization: 2 6 × 13 × 157

Nearest primes: 130,621 (−3) · 130,631 (+7)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 157 · 208 · 314 · 416 · 628 · 832 · 1256 · 2041 · 2512 · 4082 · 5024 · 8164 · 10048 · 16328 · 32656 · 65312 (half) · 130624
Aliquot sum (sum of proper divisors): 150,300
Factor pairs (a × b = 130,624)
1 × 130624
2 × 65312
4 × 32656
8 × 16328
13 × 10048
16 × 8164
26 × 5024
32 × 4082
52 × 2512
64 × 2041
104 × 1256
157 × 832
208 × 628
314 × 416
First multiples
130,624 · 261,248 (double) · 391,872 · 522,496 · 653,120 · 783,744 · 914,368 · 1,044,992 · 1,175,616 · 1,306,240

Sums & aliquot sequence

As a sum of two squares: 32² + 360² = 168² + 320²
As consecutive integers: 10,042 + 10,043 + … + 10,054 957 + 958 + … + 1,084 754 + 755 + … + 910
Aliquot sequence: 130,624 150,300 323,628 440,772 633,084 844,140 1,736,340 3,245,868 4,959,056 4,808,548 3,896,792 3,409,708 2,557,288 2,256,092 1,714,084 1,304,120 1,630,240 — unresolved within range

Continued fraction of √n

√130,624 = [361; (2, 2, 1, 1, 1, 1, 14, 2, 4, 6, 1, 1, 1, 19, 2, 2, 1, 79, 1, 1, 1, 1, 17, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand six hundred twenty-four
Ordinal
130624th
Binary
11111111001000000
Octal
377100
Hexadecimal
0x1FE40
Base64
Af5A
One's complement
4,294,836,671 (32-bit)
Scientific notation
1.30624 × 10⁵
As a duration
130,624 s = 1 day, 12 hours, 17 minutes, 4 seconds
In other bases
ternary (3) 20122011221
quaternary (4) 133321000
quinary (5) 13134444
senary (6) 2444424
septenary (7) 1052554
nonary (9) 218157
undecimal (11) 8a15a
duodecimal (12) 63714
tridecimal (13) 475c0
tetradecimal (14) 35864
pentadecimal (15) 28a84

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλχκδʹ
Mayan (base 20)
𝋰·𝋦·𝋫·𝋤
Chinese
一十三萬零六百二十四
Chinese (financial)
壹拾參萬零陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٠٦٢٤ Devanagari १३०६२४ Bengali ১৩০৬২৪ Tamil ௧௩௦௬௨௪ Thai ๑๓๐๖๒๔ Tibetan ༡༣༠༦༢༤ Khmer ១៣០៦២៤ Lao ໑໓໐໖໒໔ Burmese ၁၃၀၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130624, here are decompositions:

  • 3 + 130621 = 130624
  • 5 + 130619 = 130624
  • 71 + 130553 = 130624
  • 101 + 130523 = 130624
  • 107 + 130517 = 130624
  • 167 + 130457 = 130624
  • 257 + 130367 = 130624
  • 281 + 130343 = 130624

Showing the first eight; more decompositions exist.

Hex color
#01FE40
RGB(1, 254, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.64.

Address
0.1.254.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.64

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 130,624 and was likely granted around 1872.

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

Position in π

The digit sequence 130624 first appears in π at position 904,034 of the decimal expansion (the 904,034ordinal-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