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129333968 = 24232912119
BaseRepresentation
bin1111011010101…
…11101011010000
3100000100211211222
413231113223100
5231102141333
620500024212
73130214651
oct755275320
9300324758
10129333968
1167007585
1237392068
1320a4459a
1413269528
15b54b298
hex7b57ad0

129333968 has 40 divisors (see below), whose sum is σ = 270518400. Its totient is φ = 59717504.

The previous prime is 129333961. The next prime is 129333983. The reversal of 129333968 is 869333921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129333961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4613 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (6762960).

Almost surely, 2129333968 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 129333968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135259200).

129333968 is an abundant number, since it is smaller than the sum of its proper divisors (141184432).

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

129333968 is a wasteful number, since it uses less digits than its factorization.

129333968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12173 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 129333968 is about 11372.5093097346. The cubic root of 129333968 is about 505.7130964285.

The spelling of 129333968 in words is "one hundred twenty-nine million, three hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 5336 10672 12119 24238 48476 96952 193904 278737 351451 557474 702902 1114948 1405804 2229896 2811608 4459792 5623216 8083373 16166746 32333492 64666984 129333968