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131188840 = 23518112
BaseRepresentation
bin1111101000111…
…00100001101000
3100010212002020221
413310130201220
5232041020330
621003455424
73152041516
oct764344150
9303762227
10131188840
1168064132
1237b27574
1321243943
14135cd4b6
15b7b5b7a
hex7d1c868

131188840 has 24 divisors (see below), whose sum is σ = 295337970. Its totient is φ = 52446560.

The previous prime is 131188831. The next prime is 131188843. The reversal of 131188840 is 48881131.

It can be written as a sum of positive squares in only one way, i.e., 118069956 + 13118884 = 10866^2 + 3622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131188796 and 131188805.

It is not an unprimeable number, because it can be changed into a prime (131188843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71535 + ... + 73345.

Almost surely, 2131188840 is an apocalyptic number.

131188840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131188840 is an abundant number, since it is smaller than the sum of its proper divisors (164149130).

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

131188840 is an frugal number, since it uses more digits than its factorization.

131188840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 131188840 is about 11453.7696851299. The cubic root of 131188840 is about 508.1192292528.

The spelling of 131188840 in words is "one hundred thirty-one million, one hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1811 3622 7244 9055 14488 18110 36220 72440 3279721 6559442 13118884 16398605 26237768 32797210 65594420 131188840