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135904 = 2531137
BaseRepresentation
bin100001001011100000
320220102111
4201023200
513322104
62525104
71104136
oct411340
9226374
10135904
119311a
1266794
1349b22
1437756
152a404
hex212e0

135904 has 24 divisors (see below), whose sum is σ = 278208. Its totient is φ = 65280.

The previous prime is 135899. The next prime is 135911. The reversal of 135904 is 409531.

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, 924 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2135904 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 135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104).

135904 is an abundant number, since it is smaller than the sum of its proper divisors (142304).

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

135904 is a wasteful number, since it uses less digits than its factorization.

135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 135904 is about 368.6515970398. The cubic root of 135904 is about 51.4135288163.

The spelling of 135904 in words is "one hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 137 248 274 496 548 992 1096 2192 4247 4384 8494 16988 33976 67952 135904