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129292672 = 272961571
BaseRepresentation
bin1111011010011…
…01100110000000
3100000021202012111
413231031212000
5231044331142
620455105104
73126653365
oct755154600
9300252174
10129292672
1166a89553
1237372194
1320a2b852
141325846c
15b53de17
hex7b4d980

129292672 has 64 divisors (see below), whose sum is σ = 271299600. Its totient is φ = 61286400.

The previous prime is 129292649. The next prime is 129292687. The reversal of 129292672 is 276292921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226147 + ... + 226717.

Almost surely, 2129292672 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 129292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135649800).

129292672 is an abundant number, since it is smaller than the sum of its proper divisors (142006928).

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

129292672 is an equidigital number, since it uses as much as digits as its factorization.

129292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 129292672 is about 11370.6935584422. The cubic root of 129292672 is about 505.6592664062.

The spelling of 129292672 in words is "one hundred twenty-nine million, two hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 464 488 571 928 976 1142 1769 1856 1952 2284 3538 3712 3904 4568 7076 7808 9136 14152 16559 18272 28304 33118 34831 36544 56608 66236 69662 73088 113216 132472 139324 226432 264944 278648 529888 557296 1010099 1059776 1114592 2020198 2119552 2229184 4040396 4458368 8080792 16161584 32323168 64646336 129292672