Search a number
-
+
152118162 = 2347532531
BaseRepresentation
bin10010001000100…
…10001110010010
3101121020101220000
421010102032102
5302420240122
623032230430
73524661120
oct1104221622
9347211800
10152118162
1178959699
1242b3b416
1325691061
14162ba910
15d54c0ac
hex9112392

152118162 has 80 divisors (see below), whose sum is σ = 397058112. Its totient is φ = 42625440.

The previous prime is 152118157. The next prime is 152118181. The reversal of 152118162 is 261811251.

152118162 is a `hidden beast` number, since 1 + 521 + 1 + 81 + 62 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58837 + ... + 61367.

Almost surely, 2152118162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152118162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198529056).

152118162 is an abundant number, since it is smaller than the sum of its proper divisors (244939950).

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

152118162 is a wasteful number, since it uses less digits than its factorization.

152118162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2596 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 152118162 is about 12333.6191768678. The cubic root of 152118162 is about 533.8185850107.

It can be divided in two parts, 1521 and 18162, that added together give a 9-th power (19683 = 39).

The spelling of 152118162 in words is "one hundred fifty-two million, one hundred eighteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 106 126 159 162 189 318 371 378 477 567 742 954 1113 1134 1431 2226 2531 2862 3339 4293 5062 6678 7593 8586 10017 15186 17717 20034 22779 30051 35434 45558 53151 60102 68337 106302 134143 136674 159453 205011 268286 318906 402429 410022 478359 804858 939001 956718 1207287 1435077 1878002 2414574 2817003 2870154 3621861 5634006 7243722 8451009 10865583 16902018 21731166 25353027 50706054 76059081 152118162