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150460032 = 273391823
BaseRepresentation
bin10001111011111…
…01011010000000
3101111010011100210
420331331122000
5302004210112
622532514120
73504613662
oct1075753200
9344104323
10150460032
1177a26938
124247b940
1325230408
1415da8532
15d320b3c
hex8f7d680

150460032 has 32 divisors (see below), whose sum is σ = 399660480. Its totient is φ = 50153216.

The previous prime is 150460027. The next prime is 150460067. The reversal of 150460032 is 230064051.

It is a happy number.

150460032 is digitally balanced in base 2, 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 150459990 and 150460008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195528 + ... + 196295.

It is an arithmetic number, because the mean of its divisors is an integer number (12489390).

Almost surely, 2150460032 is an apocalyptic number.

150460032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150460032 is an abundant number, since it is smaller than the sum of its proper divisors (249200448).

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

150460032 is an equidigital number, since it uses as much as digits as its factorization.

150460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391840 (or 391828 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150460032 is about 12266.2150641508. The cubic root of 150460032 is about 531.8719046374.

The spelling of 150460032 in words is "one hundred fifty million, four hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 391823 783646 1175469 1567292 2350938 3134584 4701876 6269168 9403752 12538336 18807504 25076672 37615008 50153344 75230016 150460032