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131807420 = 22519334147
BaseRepresentation
bin1111101101100…
…11100010111100
3100012000111210022
413312303202330
5232220314140
621025031312
73160226123
oct766634274
9305014708
10131807420
1168446958
1238185538
13213cc374
1413710aba
15b8890b5
hex7db38bc

131807420 has 24 divisors (see below), whose sum is σ = 278237904. Its totient is φ = 52448256.

The previous prime is 131807419. The next prime is 131807437. The reversal of 131807420 is 24708131.

It is a self number, because there is not a number n which added to its sum of digits gives 131807420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13214 + ... + 20933.

It is an arithmetic number, because the mean of its divisors is an integer number (11593246).

Almost surely, 2131807420 is an apocalyptic number.

131807420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131807420 is an abundant number, since it is smaller than the sum of its proper divisors (146430484).

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

131807420 is a wasteful number, since it uses less digits than its factorization.

131807420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34349 (or 34347 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 131807420 is about 11480.7412652668. The cubic root of 131807420 is about 508.9166031476.

The spelling of 131807420 in words is "one hundred thirty-one million, eight hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 34147 68294 136588 170735 341470 682940 6590371 13180742 26361484 32951855 65903710 131807420