Search a number
-
+
131093952 = 2631162071
BaseRepresentation
bin1111101000001…
…01010111000000
3100010200021002120
413310011113000
5232030001302
621001444240
73151165053
oct764052700
9303607076
10131093952
1167aa9910
1237aa0680
132120c6b2
14135a6a9a
15b7979bc
hex7d055c0

131093952 has 56 divisors (see below), whose sum is σ = 378390912. Its totient is φ = 39724800.

The previous prime is 131093887. The next prime is 131093957. The reversal of 131093952 is 259390131.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131093957) 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, 28924 + ... + 33147.

Almost surely, 2131093952 is an apocalyptic number.

131093952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131093952 is an abundant number, since it is smaller than the sum of its proper divisors (247296960).

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

131093952 is a wasteful number, since it uses less digits than its factorization.

131093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62097 (or 62087 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 131093952 is about 11449.6267188062. The cubic root of 131093952 is about 507.9966933052.

The spelling of 131093952 in words is "one hundred thirty-one million, ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62071 124142 186213 248284 372426 496568 682781 744852 993136 1365562 1489704 1986272 2048343 2731124 2979408 3972544 4096686 5462248 5958816 8193372 10924496 11917632 16386744 21848992 32773488 43697984 65546976 131093952