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155031084 = 22351312269
BaseRepresentation
bin10010011110110…
…01011000101100
3101210201101200000
421033121120230
5304141443314
623214504300
73561512445
oct1117313054
9353641600
10155031084
117a56916a
1243b05090
1326170b90
14168382cc
15d925209
hex93d962c

155031084 has 72 divisors (see below), whose sum is σ = 437695440. Its totient is φ = 47697984.

The previous prime is 155031067. The next prime is 155031103. The reversal of 155031084 is 480130551.

155031084 is a `hidden beast` number, since 1 + 550 + 3 + 108 + 4 = 666.

155031084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6502 + ... + 18770.

Almost surely, 2155031084 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 155031084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218847720).

155031084 is an abundant number, since it is smaller than the sum of its proper divisors (282664356).

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

155031084 is a wasteful number, since it uses less digits than its factorization.

155031084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12301 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155031084 is about 12451.1478988887. The cubic root of 155031084 is about 537.2044413670.

The spelling of 155031084 in words is "one hundred fifty-five million, thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12269 12636 24538 36807 49076 73614 110421 147228 159497 220842 318994 331263 441684 478491 637988 662526 956982 993789 1325052 1435473 1913964 1987578 2870946 2981367 3975156 4306419 5741892 5962734 8612838 11925468 12919257 17225676 25838514 38757771 51677028 77515542 155031084