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131056770 = 23513714733
BaseRepresentation
bin1111100111111…
…00010010000010
3100010121101002110
413303330102002
5232022304040
621001000150
73150651465
oct763742202
9303541073
10131056770
1167a83989
1237a83056
13211c87b0
14135972dc
15b78b980
hex7cfc482

131056770 has 64 divisors (see below), whose sum is σ = 343574784. Its totient is φ = 31799040.

The previous prime is 131056769. The next prime is 131056799. The reversal of 131056770 is 77650131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25324 + ... + 30056.

It is an arithmetic number, because the mean of its divisors is an integer number (5368356).

Almost surely, 2131056770 is an apocalyptic number.

131056770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131056770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171787392).

131056770 is an abundant number, since it is smaller than the sum of its proper divisors (212518014).

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

131056770 is a wasteful number, since it uses less digits than its factorization.

131056770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 131056770 is about 11448.0028825992. The cubic root of 131056770 is about 507.9486612925.

The spelling of 131056770 in words is "one hundred thirty-one million, fifty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 4615 4733 5538 9230 9466 13845 14199 23665 27690 28398 47330 61529 70995 123058 141990 184587 307645 336043 369174 615290 672086 922935 1008129 1680215 1845870 2016258 3360430 4368559 5040645 8737118 10081290 13105677 21842795 26211354 43685590 65528385 131056770