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131606540 = 225131926641
BaseRepresentation
bin1111101100000…
…10100000001100
3100011122022020022
413312002200030
5232142402130
621020441312
73155431352
oct766024014
9304568208
10131606540
1168319a3a
12380a9238
132135bac0
141369b7d2
15b8497e5
hex7d8280c

131606540 has 48 divisors (see below), whose sum is σ = 313309920. Its totient is φ = 46033920.

The previous prime is 131606539. The next prime is 131606551. The reversal of 131606540 is 45606131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8381 + ... + 18260.

It is an arithmetic number, because the mean of its divisors is an integer number (6527290).

Almost surely, 2131606540 is an apocalyptic number.

131606540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131606540 is an abundant number, since it is smaller than the sum of its proper divisors (181703380).

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

131606540 is a wasteful number, since it uses less digits than its factorization.

131606540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26682 (or 26680 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 131606540 is about 11471.9893654065. The cubic root of 131606540 is about 508.6579349934.

The spelling of 131606540 in words is "one hundred thirty-one million, six hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 26641 53282 106564 133205 266410 346333 506179 532820 692666 1012358 1385332 1731665 2024716 2530895 3463330 5061790 6580327 6926660 10123580 13160654 26321308 32901635 65803270 131606540