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129944256 = 2631379659
BaseRepresentation
bin1111011111011…
…00101011000000
3100001111212000020
413233230223000
5231231204011
620521053440
73135336141
oct757545300
9301455006
10129944256
1167394052
1237627280
1320bc92c0
1413387ac8
15b61c006
hex7becac0

129944256 has 112 divisors (see below), whose sum is σ = 375513600. Its totient is φ = 39416832.

The previous prime is 129944251. The next prime is 129944263. The reversal of 129944256 is 652449921.

It is not an unprimeable number, because it can be changed into a prime (129944251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196855 + ... + 197513.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2129944256 is an apocalyptic number.

129944256 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 129944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

129944256 is an abundant number, since it is smaller than the sum of its proper divisors (245569344).

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

129944256 is a wasteful number, since it uses less digits than its factorization.

129944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 129944256 is about 11399.3094527695. The cubic root of 129944256 is about 506.5072844328.

The spelling of 129944256 in words is "one hundred twenty-nine million, nine hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 156 158 192 208 237 312 316 416 474 624 632 659 832 948 1027 1248 1264 1318 1896 1977 2054 2496 2528 2636 3081 3792 3954 4108 5056 5272 6162 7584 7908 8216 8567 10544 12324 15168 15816 16432 17134 21088 24648 25701 31632 32864 34268 42176 49296 51402 52061 63264 65728 68536 98592 102804 104122 126528 137072 156183 197184 205608 208244 274144 312366 411216 416488 548288 624732 676793 822432 832976 1249464 1353586 1644864 1665952 2030379 2498928 2707172 3331904 4060758 4997856 5414344 8121516 9995712 10828688 16243032 21657376 32486064 43314752 64972128 129944256