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129918264 = 23375314591
BaseRepresentation
bin1111011111001…
…10010100111000
3100001110112100120
413233212110320
5231224341024
620520333240
73135200310
oct757462470
9301415316
10129918264
1167376573
1237614220
1320bba518
141337c440
15b614479
hex7be6538

129918264 has 64 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 36416640.

The previous prime is 129918209. The next prime is 129918277. The reversal of 129918264 is 462819921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2129918264 is an apocalyptic number.

129918264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129918264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

129918264 is an abundant number, since it is smaller than the sum of its proper divisors (248306376).

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

129918264 is a wasteful number, since it uses less digits than its factorization.

129918264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660 (or 14656 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 129918264 is about 11398.1693266945. The cubic root of 129918264 is about 506.4735109374.

The spelling of 129918264 in words is "one hundred twenty-nine million, nine hundred eighteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 14591 29182 43773 58364 87546 102137 116728 175092 204274 306411 350184 408548 612822 773323 817096 1225644 1546646 2319969 2451288 3093292 4639938 5413261 6186584 9279876 10826522 16239783 18559752 21653044 32479566 43306088 64959132 129918264