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155084072 = 231113314373
BaseRepresentation
bin10010011111001…
…10010100101000
3101210211002100112
421033212110220
5304200142242
623215553452
73562123103
oct1117462450
9353732315
10155084072
117a5a4a60
1243b2b888
132618c030
141684d73a
15d935c82
hex93e6528

155084072 has 64 divisors (see below), whose sum is σ = 352719360. Its totient is φ = 62956800.

The previous prime is 155084071. The next prime is 155084077. The reversal of 155084072 is 270480551.

It is not an unprimeable number, because it can be changed into a prime (155084071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33278 + ... + 37650.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2155084072 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 155084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359680).

155084072 is an abundant number, since it is smaller than the sum of its proper divisors (197635288).

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

155084072 is a wasteful number, since it uses less digits than its factorization.

155084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 155084072 is about 12453.2755530423. The cubic root of 155084072 is about 537.2656380117.

The spelling of 155084072 in words is "one hundred fifty-five million, eighty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4373 4433 8746 8866 17492 17732 34984 35464 48103 56849 96206 113698 135563 192412 227396 271126 384824 454792 542252 625339 1084504 1250678 1491193 1762319 2501356 2982386 3524638 5002712 5964772 7049276 11929544 14098552 19385509 38771018 77542036 155084072