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131744484 = 223219132
BaseRepresentation
bin1111101101001…
…00001011100100
3100011220022110100
413312210023210
5232211310414
621023424100
73156544464
oct766441344
9304808410
10131744484
1168403643
1238155030
13213a9821
14136d5ba4
15b875609
hex7da42e4

131744484 has 27 divisors (see below), whose sum is σ = 333194953. Its totient is φ = 43891872.

The previous prime is 131744467. The next prime is 131744507. The reversal of 131744484 is 484447131.

It is a happy number.

The square root of 131744484 is 11478.

It is a perfect power (a square), and thus also a powerful number.

131744484 is a `hidden beast` number, since 1 + 3 + 174 + 4 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114704100 + 17040384 = 10710^2 + 4128^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67912 + ... + 69824.

Almost surely, 2131744484 is an apocalyptic number.

131744484 is the 11478-th square number.

It is an amenable number.

131744484 is an abundant number, since it is smaller than the sum of its proper divisors (201450469).

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

131744484 is an equidigital number, since it uses as much as digits as its factorization.

131744484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 1918 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The cubic root of 131744484 is about 508.8355903222.

Multiplying 131744484 by its sum of digits (36), we get a square (4742801424 = 688682).

131744484 divided by its sum of digits (36) gives a square (3659569 = 19132).

The spelling of 131744484 in words is "one hundred thirty-one million, seven hundred forty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1913 3826 5739 7652 11478 17217 22956 34434 68868 3659569 7319138 10978707 14638276 21957414 32936121 43914828 65872242 131744484