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129915072 = 2632724603
BaseRepresentation
bin1111011111001…
…01100011000000
3100001110100222100
413233211203000
5231224240242
620520310400
73135155100
oct757454300
9301410870
10129915072
1167374131
1237612400
1320bb8c31
141337b200
15b61354c
hex7be58c0

129915072 has 126 divisors (see below), whose sum is σ = 433268628. Its totient is φ = 37110528.

The previous prime is 129915067. The next prime is 129915091. The reversal of 129915072 is 270519921.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25923 + ... + 30525.

Almost surely, 2129915072 is an apocalyptic number.

129915072 is a gapful number since it is divisible by the number (12) 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 129915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216634314).

129915072 is an abundant number, since it is smaller than the sum of its proper divisors (303353556).

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

129915072 is a wasteful number, since it uses less digits than its factorization.

129915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 129915072 is about 11398.0293033489. The cubic root of 129915072 is about 506.4693630046.

The spelling of 129915072 in words is "one hundred twenty-nine million, nine hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4603 4704 7056 9206 9408 13809 14112 18412 27618 28224 32221 36824 41427 55236 64442 73648 82854 96663 110472 128884 147296 165708 193326 220944 225547 257768 289989 294592 331416 386652 441888 451094 515536 579978 662832 676641 773304 883776 902188 1031072 1159956 1325664 1353282 1546608 1804376 2029923 2062144 2319912 2651328 2706564 3093216 3608752 4059846 4639824 5413128 6186432 7217504 8119692 9279648 10826256 14435008 16239384 18559296 21652512 32478768 43305024 64957536 129915072