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152132004 = 223231136319
BaseRepresentation
bin10010001000101…
…01100110100100
3101121021002212200
421010111212210
5302421211004
623032414500
73525046353
oct1104254644
9347232780
10152132004
1178969032
1242b47430
132569744b
14162c199a
15d551239
hex91159a4

152132004 has 36 divisors (see below), whose sum is σ = 396963840. Its totient is φ = 49074480.

The previous prime is 152131943. The next prime is 152132021. The reversal of 152132004 is 400231251.

152132004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67044 + ... + 69275.

Almost surely, 2152132004 is an apocalyptic number.

It is an amenable number.

152132004 is an abundant number, since it is smaller than the sum of its proper divisors (244831836).

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

152132004 is a wasteful number, since it uses less digits than its factorization.

152132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136360 (or 136355 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152132004 is about 12334.1803132596. The cubic root of 152132004 is about 533.8347761361.

Adding to 152132004 its reverse (400231251), we get a palindrome (552363255).

The spelling of 152132004 in words is "one hundred fifty-two million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 136319 272638 408957 545276 817914 1226871 1635828 2453742 4225889 4907484 8451778 12677667 16903556 25355334 38033001 50710668 76066002 152132004