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129923064 = 233219731301
BaseRepresentation
bin1111011111001…
…11011111111000
3100001110202221100
413233213133320
5231230014224
620520411400
73135220305
oct757473770
9301422840
10129923064
116737a137
1237616b60
1320bbc76b
14133800ac
15b615ac9
hex7be77f8

129923064 has 96 divisors (see below), whose sum is σ = 375757200. Its totient is φ = 40435200.

The previous prime is 129923051. The next prime is 129923069. The reversal of 129923064 is 460329921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129923069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99214 + ... + 100514.

Almost surely, 2129923064 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 129923064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187878600).

129923064 is an abundant number, since it is smaller than the sum of its proper divisors (245834136).

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

129923064 is a wasteful number, since it uses less digits than its factorization.

129923064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 129923064 is about 11398.3798848784. The cubic root of 129923064 is about 506.4797483024.

The spelling of 129923064 in words is "one hundred twenty-nine million, nine hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1301 1314 1368 1387 1752 2602 2628 2774 3903 4161 5204 5256 5548 7806 8322 10408 11096 11709 12483 15612 16644 23418 24719 24966 31224 33288 46836 49438 49932 74157 93672 94973 98876 99864 148314 189946 197752 222471 284919 296628 379892 444942 569838 593256 759784 854757 889884 1139676 1709514 1779768 1804487 2279352 3419028 3608974 5413461 6838056 7217948 10826922 14435896 16240383 21653844 32480766 43307688 64961532 129923064