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130829832 = 23327259583
BaseRepresentation
bin1111100110001…
…00111000001000
3100010011211210100
413303010320020
5231443023312
620552045400
73146015040
oct763047010
9303154710
10130829832
1167939431
1237993860
1321149403
1413538720
15b7445dc
hex7cc4e08

130829832 has 48 divisors (see below), whose sum is σ = 404951040. Its totient is φ = 37379808.

The previous prime is 130829821. The next prime is 130829837. The reversal of 130829832 is 238928031.

It is a happy number.

It is a super-2 number, since 2×1308298322 = 34232889882296448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130829837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129288 + ... + 130295.

It is an arithmetic number, because the mean of its divisors is an integer number (8436480).

Almost surely, 2130829832 is an apocalyptic number.

130829832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130829832 is an abundant number, since it is smaller than the sum of its proper divisors (274121208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130829832 is a wasteful number, since it uses less digits than its factorization.

130829832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259602 (or 259595 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130829832 is about 11438.0869029746. The cubic root of 130829832 is about 507.6553038086.

The spelling of 130829832 in words is "one hundred thirty million, eight hundred twenty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 259583 519166 778749 1038332 1557498 1817081 2076664 2336247 3114996 3634162 4672494 5451243 6229992 7268324 9344988 10902486 14536648 16353729 18689976 21804972 32707458 43609944 65414916 130829832