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131411540 = 22513505429
BaseRepresentation
bin1111101010100…
…10111001010100
3100011021101202002
413311102321110
5232120132130
621012334432
73153660011
oct765227124
9304241662
10131411540
11681a6487
1238014418
13212c1110
141364a708
15b80bb45
hex7d52e54

131411540 has 24 divisors (see below), whose sum is σ = 297192840. Its totient is φ = 48521088.

The previous prime is 131411509. The next prime is 131411549. The reversal of 131411540 is 45114131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13645636 + 117765904 = 3694^2 + 10852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252455 + ... + 252974.

It is an arithmetic number, because the mean of its divisors is an integer number (12383035).

Almost surely, 2131411540 is an apocalyptic number.

131411540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131411540 is an abundant number, since it is smaller than the sum of its proper divisors (165781300).

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

131411540 is a wasteful number, since it uses less digits than its factorization.

131411540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505451 (or 505449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 131411540 is about 11463.4872530134. The cubic root of 131411540 is about 508.4065864752.

Adding to 131411540 its reverse (45114131), we get a palindrome (176525671).

The spelling of 131411540 in words is "one hundred thirty-one million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 505429 1010858 2021716 2527145 5054290 6570577 10108580 13141154 26282308 32852885 65705770 131411540