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131680 = 255823
BaseRepresentation
bin100000001001100000
320200122001
4200021200
513203210
62453344
71055623
oct401140
9220561
10131680
118aa2a
1264254
1347c23
1435dba
152903a
hex20260

131680 has 24 divisors (see below), whose sum is σ = 311472. Its totient is φ = 52608.

The previous prime is 131671. The next prime is 131687. The reversal of 131680 is 86131.

131680 = T227 + T228 + ... + T231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (12978).

2131680 is an apocalyptic number.

131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131680 is an abundant number, since it is smaller than the sum of its proper divisors (179792).

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

131680 is an equidigital number, since it uses as much as digits as its factorization.

131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131680 is about 362.8773897613. The cubic root of 131680 is about 50.8752558107.

The spelling of 131680 in words is "one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 823 1646 3292 4115 6584 8230 13168 16460 26336 32920 65840 131680