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129613904 = 2478913003
BaseRepresentation
bin1111011100111…
…00000001010000
3100000220001211222
413232130001100
5231140121104
620510024212
73132462050
oct756340120
9300801758
10129613904
1167188932
12374a8068
1320b11b24
14132dd560
15b5a41be
hex7b9c050

129613904 has 40 divisors (see below), whose sum is σ = 290249280. Its totient is φ = 54920448.

The previous prime is 129613903. The next prime is 129613927. The reversal of 129613904 is 409316921.

It is a super-2 number, since 2×1296139042 = 33599528220242432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129613903) 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, 3467 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (7256232).

Almost surely, 2129613904 is an apocalyptic number.

129613904 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 129613904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145124640).

129613904 is an abundant number, since it is smaller than the sum of its proper divisors (160635376).

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

129613904 is a wasteful number, since it uses less digits than its factorization.

129613904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13107 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 129613904 is about 11384.8102311808. The cubic root of 129613904 is about 506.0776958916.

The spelling of 129613904 in words is "one hundred twenty-nine million, six hundred thirteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4984 9968 13003 26006 52012 91021 104024 182042 208048 364084 728168 1157267 1456336 2314534 4629068 8100869 9258136 16201738 18516272 32403476 64806952 129613904