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159904 = 2519263
BaseRepresentation
bin100111000010100000
322010100101
4213002200
520104104
63232144
71234123
oct470240
9263311
10159904
11aa158
1278654
1357a24
14423ba
15325a4
hex270a0

159904 has 24 divisors (see below), whose sum is σ = 332640. Its totient is φ = 75456.

The previous prime is 159899. The next prime is 159911. The reversal of 159904 is 409951.

159904 = T325 + T326 + T327.

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, 477 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2159904 is an apocalyptic number.

159904 is the 327-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

159904 is an abundant number, since it is smaller than the sum of its proper divisors (172736).

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

159904 is a wasteful number, since it uses less digits than its factorization.

159904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 159904 is about 399.8799819946. The cubic root of 159904 is about 54.2774924892.

Subtracting 159904 from its reverse (409951), we obtain a cube (250047 = 633).

The spelling of 159904 in words is "one hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 263 304 526 608 1052 2104 4208 4997 8416 9994 19988 39976 79952 159904