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131604260 = 22519418447
BaseRepresentation
bin1111101100000…
…01111100100100
3100011122012002212
413312001330210
5232142314020
621020422552
73155421614
oct766017444
9304565085
10131604260
1168318257
12380a7a58
132135aa58
141369aa44
15b848cc5
hex7d81f24

131604260 has 48 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 48648960.

The previous prime is 131604257. The next prime is 131604289. The reversal of 131604260 is 62406131.

It is a happy number.

131604260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 11357 + ... + 19803.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2131604260 is an apocalyptic number.

131604260 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 131604260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

131604260 is an abundant number, since it is smaller than the sum of its proper divisors (166441180).

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

131604260 is a wasteful number, since it uses less digits than its factorization.

131604260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 131604260 is about 11471.8899924991. The cubic root of 131604260 is about 508.6549975842.

The spelling of 131604260 in words is "one hundred thirty-one million, six hundred four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7790 8447 15580 16894 33788 42235 84470 160493 168940 320986 346327 641972 692654 802465 1385308 1604930 1731635 3209860 3463270 6580213 6926540 13160426 26320852 32901065 65802130 131604260