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130,240

130,240 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.).

130,240 (one hundred thirty thousand two hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 11 × 37. Its proper divisors sum to 217,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FCC0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
42,031
Square (n²)
16,962,457,600
Cube (n³)
2,209,190,477,824,000
Divisor count
56
σ(n) — sum of divisors
347,472
φ(n) — Euler's totient
46,080
Sum of prime factors
65

Primality

Prime factorization: 2 6 × 5 × 11 × 37

Nearest primes: 130,223 (−17) · 130,241 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 37 · 40 · 44 · 55 · 64 · 74 · 80 · 88 · 110 · 148 · 160 · 176 · 185 · 220 · 296 · 320 · 352 · 370 · 407 · 440 · 592 · 704 · 740 · 814 · 880 · 1184 · 1480 · 1628 · 1760 · 2035 · 2368 · 2960 · 3256 · 3520 · 4070 · 5920 · 6512 · 8140 · 11840 · 13024 · 16280 · 26048 · 32560 · 65120 (half) · 130240
Aliquot sum (sum of proper divisors): 217,232
Factor pairs (a × b = 130,240)
1 × 130240
2 × 65120
4 × 32560
5 × 26048
8 × 16280
10 × 13024
11 × 11840
16 × 8140
20 × 6512
22 × 5920
32 × 4070
37 × 3520
40 × 3256
44 × 2960
55 × 2368
64 × 2035
74 × 1760
80 × 1628
88 × 1480
110 × 1184
148 × 880
160 × 814
176 × 740
185 × 704
220 × 592
296 × 440
320 × 407
352 × 370
First multiples
130,240 · 260,480 (double) · 390,720 · 520,960 · 651,200 · 781,440 · 911,680 · 1,041,920 · 1,172,160 · 1,302,400

Sums & aliquot sequence

As consecutive integers: 26,046 + 26,047 + 26,048 + 26,049 + 26,050 11,835 + 11,836 + … + 11,845 3,502 + 3,503 + … + 3,538 2,341 + 2,342 + … + 2,395
Aliquot sequence: 130,240 217,232 203,686 145,514 79,894 42,866 21,436 17,876 14,464 14,606 7,834 3,920 6,682 4,154 2,374 1,190 1,402 — unresolved within range

Continued fraction of √n

√130,240 = [360; (1, 7, 1, 10, 2, 1, 1, 2, 1, 179, 1, 2, 1, 1, 2, 10, 1, 7, 1, 720)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand two hundred forty
Ordinal
130240th
Binary
11111110011000000
Octal
376300
Hexadecimal
0x1FCC0
Base64
AfzA
One's complement
4,294,837,055 (32-bit)
Scientific notation
1.3024 × 10⁵
As a duration
130,240 s = 1 day, 12 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 20121122201
quaternary (4) 133303000
quinary (5) 13131430
senary (6) 2442544
septenary (7) 1051465
nonary (9) 217581
undecimal (11) 89940
duodecimal (12) 63454
tridecimal (13) 47386
tetradecimal (14) 3566c
pentadecimal (15) 288ca

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλσμʹ
Mayan (base 20)
𝋰·𝋥·𝋬·𝋠
Chinese
一十三萬零二百四十
Chinese (financial)
壹拾參萬零貳佰肆拾
In other modern scripts
Eastern Arabic ١٣٠٢٤٠ Devanagari १३०२४० Bengali ১৩০২৪০ Tamil ௧௩௦௨௪௦ Thai ๑๓๐๒๔๐ Tibetan ༡༣༠༢༤༠ Khmer ១៣០២៤០ Lao ໑໓໐໒໔໐ Burmese ၁၃၀၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130240, here are decompositions:

  • 17 + 130223 = 130240
  • 29 + 130211 = 130240
  • 41 + 130199 = 130240
  • 113 + 130127 = 130240
  • 167 + 130073 = 130240
  • 197 + 130043 = 130240
  • 269 + 129971 = 130240
  • 281 + 129959 = 130240

Showing the first eight; more decompositions exist.

Hex color
#01FCC0
RGB(1, 252, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.192.

Address
0.1.252.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.192

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 130,240 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 130240 first appears in π at position 513,288 of the decimal expansion (the 513,288ordinal-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