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325128960 = 28325132167
BaseRepresentation
bin10011011000010…
…001001100000000
3211122210021002100
4103120101030000
51131213111320
652132350400
711025356562
oct2330211400
9748707070
10325128960
11157588222
1290a75400
1352488900
1431275332
151d824790
hex13611300

325128960 has 324 divisors, whose sum is σ = 1225394352. Its totient is φ = 79552512.

The previous prime is 325128959. The next prime is 325128967. The reversal of 325128960 is 69821523.

325128960 is a `hidden beast` number, since 3 + 2 + 512 + 89 + 60 = 666.

325128960 is digitally balanced in base 3, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (325128967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946797 + ... + 1946963.

Almost surely, 2325128960 is an apocalyptic number.

325128960 is a gapful number since it is divisible by the number (30) 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 325128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612697176).

325128960 is an abundant number, since it is smaller than the sum of its proper divisors (900265392).

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

325128960 is a wasteful number, since it uses less digits than its factorization.

325128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 325128960 is about 18031.3327294463. The cubic root of 325128960 is about 687.6253593994.

The spelling of 325128960 in words is "three hundred twenty-five million, one hundred twenty-eight thousand, nine hundred sixty".