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131629096 = 23174197
BaseRepresentation
bin1111101100010…
…00000000101000
3100011200110011201
413312020000220
5232144112341
621021133544
73155554204
oct766100050
9304613151
10131629096
1168334985
12380ba2b4
1321369151
14136a5b04
15b851331
hex7d88028

131629096 has 40 divisors (see below), whose sum is σ = 263560770. Its totient is φ = 61628672.

The previous prime is 131629073. The next prime is 131629103. The reversal of 131629096 is 690926131.

It can be written as a sum of positive squares in 5 ways, for example, as 122544900 + 9084196 = 11070^2 + 3014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 668070 + ... + 668266.

Almost surely, 2131629096 is an apocalyptic number.

It is an amenable number.

131629096 is an abundant number, since it is smaller than the sum of its proper divisors (131931674).

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

131629096 is an frugal number, since it uses more digits than its factorization.

131629096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 131629096 is about 11472.9724134594. The cubic root of 131629096 is about 508.6869929034.

The spelling of 131629096 in words is "one hundred thirty-one million, six hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 4 8 17 34 68 136 197 289 394 578 788 1156 1576 2312 3349 4913 6698 9826 13396 19652 26792 39304 56933 83521 113866 167042 227732 334084 455464 668168 967861 1935722 3871444 7742888 16453637 32907274 65814548 131629096