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129872256 = 2734173113
BaseRepresentation
bin1111011110110…
…11000110000000
3100001101012020120
413233123012000
5231221403011
620515340240
73134616213
oct757330600
9301335216
10129872256
1167344a48
12375b1680
1320ba25b7
141336977a
15b605a06
hex7bdb180

129872256 has 128 divisors (see below), whose sum is σ = 361398240. Its totient is φ = 41287680.

The previous prime is 129872227. The next prime is 129872261. The reversal of 129872256 is 652278921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149256 + ... + 1149368.

Almost surely, 2129872256 is an apocalyptic number.

129872256 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 129872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180699120).

129872256 is an abundant number, since it is smaller than the sum of its proper divisors (231525984).

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

129872256 is a wasteful number, since it uses less digits than its factorization.

129872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 129872256 is about 11396.1509291515. The cubic root of 129872256 is about 506.4137179985.

The spelling of 129872256 in words is "one hundred twenty-nine million, eight hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 113 123 128 146 164 192 219 226 246 292 328 339 384 438 452 492 584 656 678 876 904 984 1168 1312 1356 1752 1808 1968 2336 2624 2712 2993 3504 3616 3936 4633 4672 5248 5424 5986 7008 7232 7872 8249 8979 9266 9344 10848 11972 13899 14016 14464 15744 16498 17958 18532 21696 23944 24747 27798 28032 32996 35916 37064 43392 47888 49494 55596 65992 71832 74128 95776 98988 111192 131984 143664 148256 191552 197976 222384 263968 287328 296512 338209 383104 395952 444768 527936 574656 593024 676418 791904 889536 1014627 1055872 1149312 1352836 1583808 1779072 2029254 2705672 3167616 4058508 5411344 8117016 10822688 16234032 21645376 32468064 43290752 64936128 129872256