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122,590

122,590 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.).

122,590 (one hundred twenty-two thousand five hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 13 × 23 × 41. Its proper divisors sum to 131,426, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEDE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
95,221
Square (n²)
15,028,308,100
Cube (n³)
1,842,320,289,979,000
Divisor count
32
σ(n) — sum of divisors
254,016
φ(n) — Euler's totient
42,240
Sum of prime factors
84

Primality

Prime factorization: 2 × 5 × 13 × 23 × 41

Nearest primes: 122,579 (−11) · 122,597 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 13 · 23 · 26 · 41 · 46 · 65 · 82 · 115 · 130 · 205 · 230 · 299 · 410 · 533 · 598 · 943 · 1066 · 1495 · 1886 · 2665 · 2990 · 4715 · 5330 · 9430 · 12259 · 24518 · 61295 (half) · 122590
Aliquot sum (sum of proper divisors): 131,426
Factor pairs (a × b = 122,590)
1 × 122590
2 × 61295
5 × 24518
10 × 12259
13 × 9430
23 × 5330
26 × 4715
41 × 2990
46 × 2665
65 × 1886
82 × 1495
115 × 1066
130 × 943
205 × 598
230 × 533
299 × 410
First multiples
122,590 · 245,180 (double) · 367,770 · 490,360 · 612,950 · 735,540 · 858,130 · 980,720 · 1,103,310 · 1,225,900

Sums & aliquot sequence

As consecutive integers: 30,646 + 30,647 + 30,648 + 30,649 24,516 + 24,517 + 24,518 + 24,519 + 24,520 9,424 + 9,425 + … + 9,436 6,120 + 6,121 + … + 6,139
Aliquot sequence: 122,590 131,426 65,716 65,772 137,508 229,404 382,564 442,204 495,236 539,644 539,700 1,251,852 2,147,628 3,742,676 3,783,724 4,229,876 4,405,324 — unresolved within range

Continued fraction of √n

√122,590 = [350; (7, 1, 3, 1, 1, 8, 11, 2, 1, 3, 9, 5, 4, 4, 1, 3, 1, 77, 70, 77, 1, 3, 1, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand five hundred ninety
Ordinal
122590th
Binary
11101111011011110
Octal
357336
Hexadecimal
0x1DEDE
Base64
Ad7e
One's complement
4,294,844,705 (32-bit)
Scientific notation
1.2259 × 10⁵
As a duration
122,590 s = 1 day, 10 hours, 3 minutes, 10 seconds
In other bases
ternary (3) 20020011101
quaternary (4) 131323132
quinary (5) 12410330
senary (6) 2343314
septenary (7) 1020256
nonary (9) 206141
undecimal (11) 84116
duodecimal (12) 5ab3a
tridecimal (13) 43a50
tetradecimal (14) 32966
pentadecimal (15) 264ca

As an angle

122,590° = 340 × 360° + 190°
190° ≈ 3.316 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβφϟʹ
Mayan (base 20)
𝋯·𝋦·𝋩·𝋪
Chinese
一十二萬二千五百九十
Chinese (financial)
壹拾貳萬貳仟伍佰玖拾
In other modern scripts
Eastern Arabic ١٢٢٥٩٠ Devanagari १२२५९० Bengali ১২২৫৯০ Tamil ௧௨௨௫௯௦ Thai ๑๒๒๕๙๐ Tibetan ༡༢༢༥༩༠ Khmer ១២២៥៩០ Lao ໑໒໒໕໙໐ Burmese ၁၂၂၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122590, here are decompositions:

  • 11 + 122579 = 122590
  • 29 + 122561 = 122590
  • 89 + 122501 = 122590
  • 101 + 122489 = 122590
  • 113 + 122477 = 122590
  • 137 + 122453 = 122590
  • 191 + 122399 = 122590
  • 197 + 122393 = 122590

Showing the first eight; more decompositions exist.

Hex color
#01DEDE
RGB(1, 222, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.222.

Address
0.1.222.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.222

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 122,590 and was likely granted around 1871.

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

Position in π

The digit sequence 122590 first appears in π at position 81,686 of the decimal expansion (the 81,686ordinal-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