Search a number
-
+
131057960 = 235112910271
BaseRepresentation
bin1111100111111…
…00100100101000
3100010121102201112
413303330210220
5232022323320
621001005452
73150655115
oct763744450
9303542645
10131057960
1167a84870
1237a83888
13211c91b7
141359790c
15b78bec5
hex7cfc928

131057960 has 64 divisors (see below), whose sum is σ = 332812800. Its totient is φ = 46009600.

The previous prime is 131057917. The next prime is 131058007. The reversal of 131057960 is 69750131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7625 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (5200200).

Almost surely, 2131057960 is an apocalyptic number.

131057960 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 131057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166406400).

131057960 is an abundant number, since it is smaller than the sum of its proper divisors (201754840).

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

131057960 is a wasteful number, since it uses less digits than its factorization.

131057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 131057960 is about 11448.0548566121. The cubic root of 131057960 is about 507.9501986850.

The spelling of 131057960 in words is "one hundred thirty-one million, fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 10271 12760 20542 41084 51355 82168 102710 112981 205420 225962 297859 410840 451924 564905 595718 903848 1129810 1191436 1489295 2259620 2382872 2978590 3276449 4519240 5957180 6552898 11914360 13105796 16382245 26211592 32764490 65528980 131057960