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152520672 = 2531588757
BaseRepresentation
bin10010001011101…
…00011111100000
3101121222212000210
421011310133200
5303021130142
623045014120
73531255453
oct1105643740
9347885023
10152520672
1179104047
12430b4340
13257a2325
141638349a
15d5cb49c
hex91747e0

152520672 has 24 divisors (see below), whose sum is σ = 400367016. Its totient is φ = 50840192.

The previous prime is 152520661. The next prime is 152520691. The reversal of 152520672 is 276025251.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 794283 + ... + 794474.

It is an arithmetic number, because the mean of its divisors is an integer number (16681959).

Almost surely, 2152520672 is an apocalyptic number.

152520672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152520672 is an abundant number, since it is smaller than the sum of its proper divisors (247846344).

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

152520672 is a wasteful number, since it uses less digits than its factorization.

152520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588770 (or 1588762 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 152520672 is about 12349.9259916811. The cubic root of 152520672 is about 534.2890045811.

The spelling of 152520672 in words is "one hundred fifty-two million, five hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1588757 3177514 4766271 6355028 9532542 12710056 19065084 25420112 38130168 50840224 76260336 152520672