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146,250

146,250 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.).

146,250 (one hundred forty-six thousand two hundred fifty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2 × 3² × 5⁴ × 13. Its proper divisors sum to 280,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23B4A.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
52,641
Recamán's sequence
a(215,916) = 146,250
Square (n²)
21,389,062,500
Cube (n³)
3,128,150,390,625,000
Divisor count
60
σ(n) — sum of divisors
426,426
φ(n) — Euler's totient
36,000
Sum of prime factors
41

Primality

Prime factorization: 2 × 3 2 × 5 4 × 13

Nearest primes: 146,249 (−1) · 146,273 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 13 · 15 · 18 · 25 · 26 · 30 · 39 · 45 · 50 · 65 · 75 · 78 · 90 · 117 · 125 · 130 · 150 · 195 · 225 · 234 · 250 · 325 · 375 · 390 · 450 · 585 · 625 · 650 · 750 · 975 · 1125 · 1170 · 1250 · 1625 · 1875 · 1950 · 2250 · 2925 · 3250 · 3750 · 4875 · 5625 · 5850 · 8125 · 9750 · 11250 · 14625 · 16250 · 24375 · 29250 · 48750 · 73125 (half) · 146250
Aliquot sum (sum of proper divisors): 280,176
Factor pairs (a × b = 146,250)
1 × 146250
2 × 73125
3 × 48750
5 × 29250
6 × 24375
9 × 16250
10 × 14625
13 × 11250
15 × 9750
18 × 8125
25 × 5850
26 × 5625
30 × 4875
39 × 3750
45 × 3250
50 × 2925
65 × 2250
75 × 1950
78 × 1875
90 × 1625
117 × 1250
125 × 1170
130 × 1125
150 × 975
195 × 750
225 × 650
234 × 625
250 × 585
325 × 450
375 × 390
First multiples
146,250 · 292,500 (double) · 438,750 · 585,000 · 731,250 · 877,500 · 1,023,750 · 1,170,000 · 1,316,250 · 1,462,500

Sums & aliquot sequence

As a sum of two squares: 33² + 381² = 75² + 375² = 165² + 345² = 177² + 339²
As consecutive integers: 48,749 + 48,750 + 48,751 36,561 + 36,562 + 36,563 + 36,564 29,248 + 29,249 + 29,250 + 29,251 + 29,252 16,246 + 16,247 + … + 16,254
Aliquot sequence: 146,250 280,176 501,024 896,064 1,664,256 3,192,288 5,952,288 9,672,720 21,075,312 34,702,368 56,856,288 92,907,312 167,513,520 351,779,136 578,970,336 1,157,942,688 2,543,433,312 — unresolved within range

Continued fraction of √n

√146,250 = [382; (2, 2, 1, 8, 1, 29, 1, 2, 3, 3, 10, 30, 2, 84, 2, 30, 10, 3, 3, 2, 1, 29, 1, 8, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand two hundred fifty
Ordinal
146250th
Binary
100011101101001010
Octal
435512
Hexadecimal
0x23B4A
Base64
AjtK
One's complement
4,294,821,045 (32-bit)
Scientific notation
1.4625 × 10⁵
As a duration
146,250 s = 1 day, 16 hours, 37 minutes, 30 seconds
In other bases
ternary (3) 21102121200
quaternary (4) 203231022
quinary (5) 14140000
senary (6) 3045030
septenary (7) 1146246
nonary (9) 242550
undecimal (11) 9a975
duodecimal (12) 70776
tridecimal (13) 51750
tetradecimal (14) 3b426
pentadecimal (15) 2d500

As an angle

146,250° = 406 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμϛσνʹ
Mayan (base 20)
𝋲·𝋥·𝋬·𝋪
Chinese
一十四萬六千二百五十
Chinese (financial)
壹拾肆萬陸仟貳佰伍拾
In other modern scripts
Eastern Arabic ١٤٦٢٥٠ Devanagari १४६२५० Bengali ১৪৬২৫০ Tamil ௧௪௬௨௫௦ Thai ๑๔๖๒๕๐ Tibetan ༡༤༦༢༥༠ Khmer ១៤៦២៥០ Lao ໑໔໖໒໕໐ Burmese ၁၄၆၂၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146250, here are decompositions:

  • 11 + 146239 = 146250
  • 29 + 146221 = 146250
  • 37 + 146213 = 146250
  • 47 + 146203 = 146250
  • 53 + 146197 = 146250
  • 59 + 146191 = 146250
  • 89 + 146161 = 146250
  • 109 + 146141 = 146250

Showing the first eight; more decompositions exist.

Unicode codepoint
𣭊
CJK Unified Ideograph-23B4A
U+23B4A
Other letter (Lo)

UTF-8 encoding: F0 A3 AD 8A (4 bytes).

Hex color
#023B4A
RGB(2, 59, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.74.

Address
0.2.59.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.74

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 146,250 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

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