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152006504 = 23131461601
BaseRepresentation
bin10010000111101…
…10111101101000
3101121000201201112
421003312331220
5302403202004
623030005452
73524014436
oct1103667550
9347021645
10152006504
1178892811
1242aa6888
13256522a0
141628bd56
15d528e6e
hex90f6f68

152006504 has 16 divisors (see below), whose sum is σ = 306936420. Its totient is φ = 70156800.

The previous prime is 152006501. The next prime is 152006509. The reversal of 152006504 is 405600251.

It can be written as a sum of positive squares in 2 ways, for example, as 132204004 + 19802500 = 11498^2 + 4450^2 .

152006504 is a modest number, since divided by 6504 gives 1520 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 152006504.

It is not an unprimeable number, because it can be changed into a prime (152006501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 730697 + ... + 730904.

Almost surely, 2152006504 is an apocalyptic number.

It is an amenable number.

152006504 is an abundant number, since it is smaller than the sum of its proper divisors (154929916).

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

152006504 is a wasteful number, since it uses less digits than its factorization.

152006504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461620 (or 1461616 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 152006504 is about 12329.0917751471. The cubic root of 152006504 is about 533.6879416026.

Adding to 152006504 its reverse (405600251), we get a palindrome (557606755).

The spelling of 152006504 in words is "one hundred fifty-two million, six thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 1461601 2923202 5846404 11692808 19000813 38001626 76003252 152006504