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152268116 = 2271113172237
BaseRepresentation
bin10010001001101…
…10110101010100
3101121112000120212
421010312311110
5302440034431
623035344552
73526154240
oct1104666524
9347460525
10152268116
1178a51320
1242bb2158
13257143a0
1416319420
15d57b72b
hex9136d54

152268116 has 96 divisors (see below), whose sum is σ = 378991872. Its totient is φ = 51517440.

The previous prime is 152268113. The next prime is 152268143. The reversal of 152268116 is 611862251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152268113) 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 31 ways as a sum of consecutive naturals, for example, 66950 + ... + 69186.

It is an arithmetic number, because the mean of its divisors is an integer number (3947832).

Almost surely, 2152268116 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 152268116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189495936).

152268116 is an abundant number, since it is smaller than the sum of its proper divisors (226723756).

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

152268116 is a wasteful number, since it uses less digits than its factorization.

152268116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 152268116 is about 12339.6967547829. The cubic root of 152268116 is about 533.9939354144.

The spelling of 152268116 in words is "one hundred fifty-two million, two hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2237 2431 2618 3094 4004 4474 4862 5236 6188 8948 9724 15659 17017 24607 29081 31318 34034 38029 49214 58162 62636 68068 76058 98428 116324 152116 172249 203567 266203 319891 344498 407134 418319 494377 532406 639782 688996 814268 836638 988754 1064812 1279564 1673276 1977508 2239237 2928233 3460639 4478474 5438147 5856466 6921278 8956948 10876294 11712932 13842556 21752588 38067029 76134058 152268116