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155412864 = 2733193233
BaseRepresentation
bin10010100001101…
…10100110000000
3101211102210101000
421100312212000
5304241202424
623231012000
73564662505
oct1120664600
9354383330
10155412864
117a7a9a92
124406a000
1326275899
14168d74ac
15d99d3c9
hex9436980

155412864 has 128 divisors (see below), whose sum is σ = 463039200. Its totient is φ = 51314688.

The previous prime is 155412833. The next prime is 155412871. The reversal of 155412864 is 468214551.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 666892 + ... + 667124.

Almost surely, 2155412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231519600).

155412864 is an abundant number, since it is smaller than the sum of its proper divisors (307626336).

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

155412864 is a wasteful number, since it uses less digits than its factorization.

155412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 155412864 is about 12466.4695884601. The cubic root of 155412864 is about 537.6450536221.

The spelling of 155412864 in words is "one hundred fifty-five million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 233 288 384 386 432 466 576 579 699 772 864 932 1152 1158 1398 1544 1728 1737 1864 2097 2316 2796 3088 3456 3474 3728 4194 4632 5211 5592 6176 6291 6948 7456 8388 9264 10422 11184 12352 12582 13896 14912 16776 18528 20844 22368 24704 25164 27792 29824 33552 37056 41688 44736 44969 50328 55584 67104 74112 83376 89472 89938 100656 111168 134208 134907 166752 179876 201312 222336 268416 269814 333504 359752 402624 404721 539628 667008 719504 805248 809442 1079256 1214163 1439008 1618884 2158512 2428326 2878016 3237768 4317024 4856652 5756032 6475536 8634048 9713304 12951072 17268096 19426608 25902144 38853216 51804288 77706432 155412864