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129928896 = 26321911181
BaseRepresentation
bin1111011111010…
…00111011000000
3100001111001221100
413233220323000
5231230211041
620520454400
73135243306
oct757507300
9301431840
10129928896
1167383559
123761a400
1320bc2306
1413382276
15b6176b6
hex7be8ec0

129928896 has 84 divisors (see below), whose sum is σ = 374684544. Its totient is φ = 43046400.

The previous prime is 129928871. The next prime is 129928907. The reversal of 129928896 is 698829921.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109426 + ... + 110606.

Almost surely, 2129928896 is an apocalyptic number.

129928896 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 129928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342272).

129928896 is an abundant number, since it is smaller than the sum of its proper divisors (244755648).

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

129928896 is a wasteful number, since it uses less digits than its factorization.

129928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 129928896 is about 11398.6357078380. The cubic root of 129928896 is about 506.4873264942.

The spelling of 129928896 in words is "one hundred twenty-nine million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1181 1528 1719 2292 2362 3056 3438 3543 4584 4724 6112 6876 7086 9168 9448 10629 12224 13752 14172 18336 18896 21258 27504 28344 36672 37792 42516 55008 56688 75584 85032 110016 113376 170064 225571 226752 340128 451142 676713 680256 902284 1353426 1804568 2030139 2706852 3609136 4060278 5413704 7218272 8120556 10827408 14436544 16241112 21654816 32482224 43309632 64964448 129928896