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131925780 = 223357172053
BaseRepresentation
bin1111101110100…
…00011100010100
3100012020112011000
413313100130110
5232233111110
621031343300
73161231160
oct767203424
9305215130
10131925780
1168517878
1238221b30
13214411bc
1413741ca0
15b8ae1c0
hex7dd0714

131925780 has 192 divisors, whose sum is σ = 496903680. Its totient is φ = 28366848.

The previous prime is 131925779. The next prime is 131925791. The reversal of 131925780 is 87529131.

It is a super-2 number, since 2×1319257802 = 34808822857216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63234 + ... + 65286.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2131925780 is an apocalyptic number.

131925780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131925780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

131925780 is an abundant number, since it is smaller than the sum of its proper divisors (364977900).

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

131925780 is a wasteful number, since it uses less digits than its factorization.

131925780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131925780 is about 11485.8948280053. The cubic root of 131925780 is about 509.0688893344.

The spelling of 131925780 in words is "one hundred thirty-one million, nine hundred twenty-five thousand, seven hundred eighty".