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131344686 = 233111713007
BaseRepresentation
bin1111101010000…
…10100100101110
3100011011000001000
413311002210232
5232111012221
621011101130
73153261054
oct765024456
9304130030
10131344686
1168160230
1237ba17a6
1321299865
14136301d4
15b7e6e26
hex7d4292e

131344686 has 64 divisors (see below), whose sum is σ = 337167360. Its totient is φ = 37457280.

The previous prime is 131344639. The next prime is 131344691. The reversal of 131344686 is 686443131.

It is a happy number.

131344686 is a `hidden beast` number, since 131 + 3 + 446 + 86 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131344686.

It is a congruent number.

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, 3595 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (5268240).

Almost surely, 2131344686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168583680).

131344686 is an abundant number, since it is smaller than the sum of its proper divisors (205822674).

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

131344686 is a wasteful number, since it uses less digits than its factorization.

131344686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13046 (or 13040 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 131344686 is about 11460.5709281868. The cubic root of 131344686 is about 508.3203566576.

The spelling of 131344686 in words is "one hundred thirty-one million, three hundred forty-four thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 13007 26014 39021 78042 117063 143077 221119 234126 286154 351189 429231 442238 663357 702378 858462 1287693 1326714 1990071 2432309 2575386 3863079 3980142 4864618 5970213 7296927 7726158 11940426 14593854 21890781 43781562 65672343 131344686