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129902976 = 2732789181
BaseRepresentation
bin1111011111000…
…10100110000000
3100001102202101100
413233202212000
5231223343401
620520134400
73135104610
oct757424600
9301382340
10129902976
1167366035
1237607400
1320bb3588
1413376a40
15b60eb86
hex7be2980

129902976 has 192 divisors, whose sum is σ = 434397600. Its totient is φ = 36495360.

The previous prime is 129902951. The next prime is 129903023. The reversal of 129902976 is 679209921.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717606 + ... + 717786.

Almost surely, 2129902976 is an apocalyptic number.

129902976 is a gapful number since it is divisible by the number (16) 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 129902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

129902976 is an abundant number, since it is smaller than the sum of its proper divisors (304494624).

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

129902976 is a wasteful number, since it uses less digits than its factorization.

129902976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 129902976 is about 11397.4986729545. The cubic root of 129902976 is about 506.4536439058.

Adding to 129902976 its sum of digits (45), we get a triangular number (129903021 = T16118).

The spelling of 129902976 in words is "one hundred twenty-nine million, nine hundred two thousand, nine hundred seventy-six".