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152114261 = 1373891801
BaseRepresentation
bin10010001000100…
…01010001010101
3101121020012112112
421010101101111
5302420124021
623032200405
73524643545
oct1104212125
9347205475
10152114261
1178956772
1242b39105
132568c350
14162b9325
15d54ad5b
hex9111455

152114261 has 16 divisors (see below), whose sum is σ = 168018480. Its totient is φ = 136857600.

The previous prime is 152114201. The next prime is 152114269. The reversal of 152114261 is 162411251.

It can be written as a sum of positive squares in 8 ways, for example, as 39627025 + 112487236 = 6295^2 + 10606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152114261 is a prime.

It is a super-2 number, since 2×1521142612 = 46277496799152242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152114269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83561 + ... + 85361.

It is an arithmetic number, because the mean of its divisors is an integer number (10501155).

Almost surely, 2152114261 is an apocalyptic number.

It is an amenable number.

152114261 is a deficient number, since it is larger than the sum of its proper divisors (15904219).

152114261 is a wasteful number, since it uses less digits than its factorization.

152114261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976.

The product of its digits is 480, while the sum is 23.

The square root of 152114261 is about 12333.4610308705. The cubic root of 152114261 is about 533.8140217947.

The spelling of 152114261 in words is "one hundred fifty-two million, one hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 13 73 89 949 1157 1801 6497 23413 84461 131473 160289 1709149 2083757 11701097 152114261