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149,820

149,820 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.).

149,820 (one hundred forty-nine thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 11 × 227. Its proper divisors sum to 309,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2493C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
28,941
Square (n²)
22,446,032,400
Cube (n³)
3,362,864,574,168,000
Divisor count
48
σ(n) — sum of divisors
459,648
φ(n) — Euler's totient
36,160
Sum of prime factors
250

Primality

Prime factorization: 2 2 × 3 × 5 × 11 × 227

Nearest primes: 149,803 (−17) · 149,827 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 44 · 55 · 60 · 66 · 110 · 132 · 165 · 220 · 227 · 330 · 454 · 660 · 681 · 908 · 1135 · 1362 · 2270 · 2497 · 2724 · 3405 · 4540 · 4994 · 6810 · 7491 · 9988 · 12485 · 13620 · 14982 · 24970 · 29964 · 37455 · 49940 · 74910 (half) · 149820
Aliquot sum (sum of proper divisors): 309,828
Factor pairs (a × b = 149,820)
1 × 149820
2 × 74910
3 × 49940
4 × 37455
5 × 29964
6 × 24970
10 × 14982
11 × 13620
12 × 12485
15 × 9988
20 × 7491
22 × 6810
30 × 4994
33 × 4540
44 × 3405
55 × 2724
60 × 2497
66 × 2270
110 × 1362
132 × 1135
165 × 908
220 × 681
227 × 660
330 × 454
First multiples
149,820 · 299,640 (double) · 449,460 · 599,280 · 749,100 · 898,920 · 1,048,740 · 1,198,560 · 1,348,380 · 1,498,200

Sums & aliquot sequence

As consecutive integers: 49,939 + 49,940 + 49,941 29,962 + 29,963 + 29,964 + 29,965 + 29,966 18,724 + 18,725 + … + 18,731 13,615 + 13,616 + … + 13,625
Aliquot sequence: 149,820 309,828 413,132 315,148 236,368 299,312 325,648 305,326 225,458 115,582 57,794 40,702 21,794 12,874 7,034 3,520 5,624 — unresolved within range

Continued fraction of √n

√149,820 = [387; (15, 5, 1, 1, 1, 2, 31, 1, 7, 5, 1, 1, 3, 3, 1, 192, 1, 3, 3, 1, 1, 5, 7, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-nine thousand eight hundred twenty
Ordinal
149820th
Binary
100100100100111100
Octal
444474
Hexadecimal
0x2493C
Base64
Akk8
One's complement
4,294,817,475 (32-bit)
Scientific notation
1.4982 × 10⁵
As a duration
149,820 s = 1 day, 17 hours, 37 minutes
In other bases
ternary (3) 21121111220
quaternary (4) 210210330
quinary (5) 14243240
senary (6) 3113340
septenary (7) 1162536
nonary (9) 247456
undecimal (11) a2620
duodecimal (12) 72850
tridecimal (13) 53268
tetradecimal (14) 3c856
pentadecimal (15) 2e5d0

As an angle

149,820° = 416 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμθωκʹ
Mayan (base 20)
𝋲·𝋮·𝋫·𝋠
Chinese
一十四萬九千八百二十
Chinese (financial)
壹拾肆萬玖仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٤٩٨٢٠ Devanagari १४९८२० Bengali ১৪৯৮২০ Tamil ௧௪௯௮௨௦ Thai ๑๔๙๘๒๐ Tibetan ༡༤༩༨༢༠ Khmer ១៤៩៨២០ Lao ໑໔໙໘໒໐ Burmese ၁၄၉၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149820, here are decompositions:

  • 17 + 149803 = 149820
  • 29 + 149791 = 149820
  • 53 + 149767 = 149820
  • 61 + 149759 = 149820
  • 71 + 149749 = 149820
  • 89 + 149731 = 149820
  • 103 + 149717 = 149820
  • 107 + 149713 = 149820

Showing the first eight; more decompositions exist.

Unicode codepoint
𤤼
CJK Unified Ideograph-2493C
U+2493C
Other letter (Lo)

UTF-8 encoding: F0 A4 A4 BC (4 bytes).

Hex color
#02493C
RGB(2, 73, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.73.60.

Address
0.2.73.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.73.60

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 149,820 and was likely granted around 1873.

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

Position in π

The digit sequence 149820 first appears in π at position 869,083 of the decimal expansion (the 869,083ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.