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129762906 = 23713435527
BaseRepresentation
bin1111011110000…
…00011001011010
3100001011122020120
413233000121122
5231204403111
620513134110
73133652340
oct757003132
9301148216
10129762906
116727a879
123755a336
1320b648b0
141333b990
15b5d3406
hex7bc065a

129762906 has 64 divisors (see below), whose sum is σ = 326903808. Its totient is φ = 33421248.

The previous prime is 129762877. The next prime is 129762929. The reversal of 129762906 is 609267921.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20715 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (5107872).

Almost surely, 2129762906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129762906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163451904).

129762906 is an abundant number, since it is smaller than the sum of its proper divisors (197140902).

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

129762906 is a wasteful number, since it uses less digits than its factorization.

129762906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 129762906 is about 11391.3522463314. The cubic root of 129762906 is about 506.2715478102.

The spelling of 129762906 in words is "one hundred twenty-nine million, seven hundred sixty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 182 258 273 301 546 559 602 903 1118 1677 1806 3354 3913 5527 7826 11054 11739 16581 23478 33162 38689 71851 77378 116067 143702 215553 232134 237661 431106 475322 502957 712983 1005914 1425966 1508871 1663627 3017742 3089593 3327254 4990881 6179186 9268779 9981762 18537558 21627151 43254302 64881453 129762906