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155012832 = 25331337373
BaseRepresentation
bin10010011110101…
…00111011100000
3101210200110122000
421033110323200
5304140402312
623214244000
73561405312
oct1117247340
9353613560
10155012832
117a556487
1243ab6600
1326165790
14168317b2
15d91eadc
hex93d4ee0

155012832 has 192 divisors, whose sum is σ = 501399360. Its totient is φ = 46282752.

The previous prime is 155012797. The next prime is 155012843. The reversal of 155012832 is 238210551.

It is a happy number.

155012832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 155012796 and 155012805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415398 + ... + 415770.

It is an arithmetic number, because the mean of its divisors is an integer number (2611455).

Almost surely, 2155012832 is an apocalyptic number.

155012832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250699680).

155012832 is an abundant number, since it is smaller than the sum of its proper divisors (346386528).

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

155012832 is a wasteful number, since it uses less digits than its factorization.

155012832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155012832 is about 12450.4149328446. The cubic root of 155012832 is about 537.1833586266.

The spelling of 155012832 in words is "one hundred fifty-five million, twelve thousand, eight hundred thirty-two".