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152768 = 2671131
BaseRepresentation
bin100101010011000000
321202120002
4211103000
514342033
63135132
71204250
oct452300
9252502
10152768
11a4860
12744a8
13546c5
143d960
15303e8
hex254c0

152768 has 56 divisors (see below), whose sum is σ = 390144. Its totient is φ = 57600.

The previous prime is 152767. The next prime is 152777. The reversal of 152768 is 867251.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 152768.

It is not an unprimeable number, because it can be changed into a prime (152767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4913 + ... + 4943.

2152768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195072).

152768 is an abundant number, since it is smaller than the sum of its proper divisors (237376).

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

152768 is a wasteful number, since it uses less digits than its factorization.

152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 152768 is about 390.8554720098. The cubic root of 152768 is about 53.4577650189.

The spelling of 152768 in words is "one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 154 176 217 224 248 308 341 352 434 448 496 616 682 704 868 992 1232 1364 1736 1984 2387 2464 2728 3472 4774 4928 5456 6944 9548 10912 13888 19096 21824 38192 76384 152768