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152120624 = 2417717877
BaseRepresentation
bin10010001000100…
…10110100110000
3101121020112021012
421010102310300
5302420324444
623032250052
73525001235
oct1104226460
9347215235
10152120624
1178960527
1242b40928
1325692206
14162bb78c
15d54cb9e
hex9112d30

152120624 has 40 divisors (see below), whose sum is σ = 316506528. Its totient is φ = 70568960.

The previous prime is 152120621. The next prime is 152120629. The reversal of 152120624 is 426021251.

It is a happy number.

It is a super-2 number, since 2×1521206242 = 46281368492298752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152120624.

It is not an unprimeable number, because it can be changed into a prime (152120621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15374 + ... + 23250.

Almost surely, 2152120624 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 152120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158253264).

152120624 is an abundant number, since it is smaller than the sum of its proper divisors (164385904).

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

152120624 is a wasteful number, since it uses less digits than its factorization.

152120624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 152120624 is about 12333.7189849615. The cubic root of 152120624 is about 533.8214649084.

Adding to 152120624 its reverse (426021251), we get a palindrome (578141875).

The spelling of 152120624 in words is "one hundred fifty-two million, one hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 4828 7877 9656 15754 19312 31508 63016 126032 133909 267818 535636 559267 1071272 1118534 2142544 2237068 4474136 8948272 9507539 19015078 38030156 76060312 152120624