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152394720 = 2535317489
BaseRepresentation
bin10010001010101…
…01101111100000
3101121202110020220
421011111233200
5303003112340
623042203040
73530222322
oct1105255740
9347673226
10152394720
1179028455
1243053480
1325759bba
141634d612
15d5a3ed0
hex9155be0

152394720 has 48 divisors (see below), whose sum is σ = 480044880. Its totient is φ = 40638464.

The previous prime is 152394679. The next prime is 152394733. The reversal of 152394720 is 27493251.

152394720 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 158265 + ... + 159224.

It is an arithmetic number, because the mean of its divisors is an integer number (10000935).

Almost surely, 2152394720 is an apocalyptic number.

152394720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152394720 is an abundant number, since it is smaller than the sum of its proper divisors (327650160).

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

152394720 is a wasteful number, since it uses less digits than its factorization.

152394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317507 (or 317499 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 152394720 is about 12344.8256366787. The cubic root of 152394720 is about 534.1418916239.

The spelling of 152394720 in words is "one hundred fifty-two million, three hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 317489 634978 952467 1269956 1587445 1904934 2539912 3174890 3809868 4762335 5079824 6349780 7619736 9524670 10159648 12699560 15239472 19049340 25399120 30478944 38098680 50798240 76197360 152394720