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152960 = 275239
BaseRepresentation
bin100101010110000000
321202211012
4211112000
514343320
63140052
71204643
oct452600
9252735
10152960
11a4a15
1274628
1354812
143da5a
15304c5
hex25580

152960 has 32 divisors (see below), whose sum is σ = 367200. Its totient is φ = 60928.

The previous prime is 152959. The next prime is 152981. The reversal of 152960 is 69251.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 521 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2152960 is an apocalyptic number.

152960 is a gapful number since it is divisible by the number (10) 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 152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

152960 is an abundant number, since it is smaller than the sum of its proper divisors (214240).

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

152960 is an equidigital number, since it uses as much as digits as its factorization.

152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 152960 is about 391.1010099706. The cubic root of 152960 is about 53.4801510203.

The spelling of 152960 in words is "one hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 640 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 30592 38240 76480 152960