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153104256 = 273414767
BaseRepresentation
bin10010010000000…
…10111110000000
3101200002111120000
421020002332000
5303143314011
623105320000
73536236044
oct1110027600
9350074500
10153104256
1179472548
1243336000
1325947b46
1416496024
15d694356
hex9202f80

153104256 has 80 divisors (see below), whose sum is σ = 455666640. Its totient is φ = 51031296.

The previous prime is 153104243. The next prime is 153104269. The reversal of 153104256 is 652401351.

It is an interprime number because it is at equal distance from previous prime (153104243) and next prime (153104269).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2985 + ... + 17751.

It is an arithmetic number, because the mean of its divisors is an integer number (5695833).

Almost surely, 2153104256 is an apocalyptic number.

153104256 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 153104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227833320).

153104256 is an abundant number, since it is smaller than the sum of its proper divisors (302562384).

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

153104256 is an equidigital number, since it uses as much as digits as its factorization.

153104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793 (or 14772 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 153104256 is about 12373.5304581999. The cubic root of 153104256 is about 534.9695804756.

The spelling of 153104256 in words is "one hundred fifty-three million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 14767 29534 44301 59068 88602 118136 132903 177204 236272 265806 354408 398709 472544 531612 708816 797418 945088 1063224 1196127 1417632 1594836 1890176 2126448 2392254 2835264 3189672 4252896 4784508 5670528 6379344 8505792 9569016 12758688 17011584 19138032 25517376 38276064 51034752 76552128 153104256