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129902032 = 24131722161
BaseRepresentation
bin1111011111000…
…10010111010000
3100001102201002101
413233202113100
5231223331112
620520130144
73135102061
oct757422720
9301381071
10129902032
1167365357
1237606954
1320bb3010
1413376568
15b60e757
hex7be25d0

129902032 has 60 divisors (see below), whose sum is σ = 288060556. Its totient is φ = 56401920.

The previous prime is 129902029. The next prime is 129902039. The reversal of 129902032 is 230209921.

It can be written as a sum of positive squares in 6 ways, for example, as 3474496 + 126427536 = 1864^2 + 11244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129902039) 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, 59032 + ... + 61192.

Almost surely, 2129902032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129902032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144030278).

129902032 is an abundant number, since it is smaller than the sum of its proper divisors (158158524).

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

129902032 is a wasteful number, since it uses less digits than its factorization.

129902032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 129902032 is about 11397.4572602840. The cubic root of 129902032 is about 506.4524171097.

The spelling of 129902032 in words is "one hundred twenty-nine million, nine hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1768 2161 2312 3536 3757 4322 4624 7514 8644 15028 17288 28093 30056 34576 36737 56186 60112 73474 112372 146948 224744 293896 449488 477581 587792 624529 955162 1249058 1910324 2498116 3820648 4996232 7641296 8118877 9992464 16237754 32475508 64951016 129902032