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131742756 = 223211873083
BaseRepresentation
bin1111101101000…
…11110000100100
3100011220020002100
413312203300210
5232211232011
621023412100
73156536445
oct766436044
9304806070
10131742756
1168402312
1238154030
13213a8ac2
14136d52cc
15b874d56
hex7da3c24

131742756 has 36 divisors (see below), whose sum is σ = 333405072. Its totient is φ = 43863024.

The previous prime is 131742731. The next prime is 131742757. The reversal of 131742756 is 657247131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131742756.

It is not an unprimeable number, because it can be changed into a prime (131742757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41191 + ... + 44273.

It is an arithmetic number, because the mean of its divisors is an integer number (9261252).

Almost surely, 2131742756 is an apocalyptic number.

It is an amenable number.

131742756 is an abundant number, since it is smaller than the sum of its proper divisors (201662316).

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

131742756 is a wasteful number, since it uses less digits than its factorization.

131742756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4275 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 131742756 is about 11477.9247253151. The cubic root of 131742756 is about 508.8333656326.

Adding to 131742756 its reverse (657247131), we get a palindrome (788989887).

The spelling of 131742756 in words is "one hundred thirty-one million, seven hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1187 2374 3083 3561 4748 6166 7122 9249 10683 12332 14244 18498 21366 27747 36996 42732 55494 110988 3659521 7319042 10978563 14638084 21957126 32935689 43914252 65871378 131742756