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149,072

149,072 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.).

149,072 (one hundred forty-nine thousand seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 11³. Its proper divisors sum to 214,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24650.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
270,941
Recamán's sequence
a(210,988) = 149,072
Square (n²)
22,222,461,184
Cube (n³)
3,312,746,733,621,248
Divisor count
40
σ(n) — sum of divisors
363,072
φ(n) — Euler's totient
58,080
Sum of prime factors
48

Primality

Prime factorization: 2 4 × 7 × 11 3

Nearest primes: 149,069 (−3) · 149,077 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 44 · 56 · 77 · 88 · 112 · 121 · 154 · 176 · 242 · 308 · 484 · 616 · 847 · 968 · 1232 · 1331 · 1694 · 1936 · 2662 · 3388 · 5324 · 6776 · 9317 · 10648 · 13552 · 18634 · 21296 · 37268 · 74536 (half) · 149072
Aliquot sum (sum of proper divisors): 214,000
Factor pairs (a × b = 149,072)
1 × 149072
2 × 74536
4 × 37268
7 × 21296
8 × 18634
11 × 13552
14 × 10648
16 × 9317
22 × 6776
28 × 5324
44 × 3388
56 × 2662
77 × 1936
88 × 1694
112 × 1331
121 × 1232
154 × 968
176 × 847
242 × 616
308 × 484
First multiples
149,072 · 298,144 (double) · 447,216 · 596,288 · 745,360 · 894,432 · 1,043,504 · 1,192,576 · 1,341,648 · 1,490,720

Sums & aliquot sequence

As consecutive integers: 21,293 + 21,294 + … + 21,299 13,547 + 13,548 + … + 13,557 4,643 + 4,644 + … + 4,674 1,898 + 1,899 + … + 1,974
Aliquot sequence: 149,072 214,000 308,288 303,598 151,802 113,248 109,772 97,204 81,996 109,356 165,828 251,260 308,180 373,900 437,680 580,112 630,748 — unresolved within range

Continued fraction of √n

√149,072 = [386; (10, 6, 3, 1, 1, 4, 1, 1, 1, 5, 1, 2, 1, 3, 1, 4, 1, 5, 1, 1, 4, 11, 1, 5, …)]

Representations

In words
one hundred forty-nine thousand seventy-two
Ordinal
149072nd
Binary
100100011001010000
Octal
443120
Hexadecimal
0x24650
Base64
AkZQ
One's complement
4,294,818,223 (32-bit)
Scientific notation
1.49072 × 10⁵
As a duration
149,072 s = 1 day, 17 hours, 24 minutes, 32 seconds
In other bases
ternary (3) 21120111012
quaternary (4) 210121100
quinary (5) 14232242
senary (6) 3110052
septenary (7) 1160420
nonary (9) 246435
undecimal (11) a2000
duodecimal (12) 72328
tridecimal (13) 52b11
tetradecimal (14) 3c480
pentadecimal (15) 2e282

As an angle

149,072° = 414 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμθοβʹ
Mayan (base 20)
𝋲·𝋬·𝋭·𝋬
Chinese
一十四萬九千零七十二
Chinese (financial)
壹拾肆萬玖仟零柒拾貳
In other modern scripts
Eastern Arabic ١٤٩٠٧٢ Devanagari १४९०७२ Bengali ১৪৯০৭২ Tamil ௧௪௯௦௭௨ Thai ๑๔๙๐๗๒ Tibetan ༡༤༩༠༧༢ Khmer ១៤៩០៧២ Lao ໑໔໙໐໗໒ Burmese ၁၄၉၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149072, here are decompositions:

  • 3 + 149069 = 149072
  • 13 + 149059 = 149072
  • 19 + 149053 = 149072
  • 61 + 149011 = 149072
  • 139 + 148933 = 149072
  • 151 + 148921 = 149072
  • 181 + 148891 = 149072
  • 199 + 148873 = 149072

Showing the first eight; more decompositions exist.

Unicode codepoint
𤙐
CJK Unified Ideograph-24650
U+24650
Other letter (Lo)

UTF-8 encoding: F0 A4 99 90 (4 bytes).

Hex color
#024650
RGB(2, 70, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.70.80.

Address
0.2.70.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.70.80

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 149,072 and was likely granted around 1873.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.