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131378860 = 22537177539
BaseRepresentation
bin1111101010010…
…10111010101100
3100011012201220201
413311022322230
5232113110420
621011523244
73153462514
oct765127254
9304181821
10131378860
1168183978
1237bb9524
13212ac292
141363c844
15b80210a
hex7d4aeac

131378860 has 24 divisors (see below), whose sum is σ = 283353840. Its totient is φ = 51130944.

The previous prime is 131378843. The next prime is 131378867. The reversal of 131378860 is 68873131.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (131378867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88030 + ... + 89509.

It is an arithmetic number, because the mean of its divisors is an integer number (11806410).

Almost surely, 2131378860 is an apocalyptic number.

131378860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131378860 is an abundant number, since it is smaller than the sum of its proper divisors (151974980).

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

131378860 is a wasteful number, since it uses less digits than its factorization.

131378860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177585 (or 177583 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 131378860 is about 11462.0617691583. The cubic root of 131378860 is about 508.3644387189.

The spelling of 131378860 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 177539 355078 710156 887695 1775390 3550780 6568943 13137886 26275772 32844715 65689430 131378860