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135580 = 2256779
BaseRepresentation
bin100001000110011100
320212222111
4201012130
513314310
62523404
71103164
oct410634
9225874
10135580
1192955
1266564
1349933
14375a4
152a28a
hex2119c

135580 has 12 divisors (see below), whose sum is σ = 284760. Its totient is φ = 54224.

The previous prime is 135571. The next prime is 135581. The reversal of 135580 is 85531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3370 + ... + 3409.

It is an arithmetic number, because the mean of its divisors is an integer number (23730).

2135580 is an apocalyptic number.

135580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135580 is an abundant number, since it is smaller than the sum of its proper divisors (149180).

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

135580 is a wasteful number, since it uses less digits than its factorization.

135580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 135580 is about 368.2118955167. The cubic root of 135580 is about 51.3726390739.

The spelling of 135580 in words is "one hundred thirty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 6779 13558 27116 33895 67790 135580