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131697424 = 2431793361
BaseRepresentation
bin1111101100110…
…00101100010000
3100011210220220101
413312120230100
5232203304144
621022422144
73156260335
oct766305420
9304726811
10131697424
1168381251
1238131954
1321391291
14136c298c
15b8666d4
hex7d98b10

131697424 has 40 divisors (see below), whose sum is σ = 266808320. Its totient is φ = 62899200.

The previous prime is 131697413. The next prime is 131697437. The reversal of 131697424 is 424796131.

It is a super-2 number, since 2×1316974242 = 34688422976471552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37504 + ... + 40864.

It is an arithmetic number, because the mean of its divisors is an integer number (6670208).

Almost surely, 2131697424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131697424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133404160).

131697424 is an abundant number, since it is smaller than the sum of its proper divisors (135110896).

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

131697424 is a wasteful number, since it uses less digits than its factorization.

131697424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3473 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 131697424 is about 11475.9498081858. The cubic root of 131697424 is about 508.7749966287.

The spelling of 131697424 in words is "one hundred thirty-one million, six hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 3361 4898 6722 9796 13444 19592 26888 39184 53776 104191 208382 265519 416764 531038 833528 1062076 1667056 2124152 4248304 8231089 16462178 32924356 65848712 131697424