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131530504 = 2372421797
BaseRepresentation
bin1111101011011…
…11111100001000
3100011111102221011
413311233330020
5232132434004
621015053304
73154663600
oct765577410
9304442834
10131530504
11682778a6
1238071234
1321333301
141367bc00
15b832004
hex7d6ff08

131530504 has 48 divisors (see below), whose sum is σ = 287926380. Its totient is φ = 56165760.

The previous prime is 131530493. The next prime is 131530561. The reversal of 131530504 is 405035131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114704100 + 16826404 = 10710^2 + 4102^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164634 + ... + 165430.

Almost surely, 2131530504 is an apocalyptic number.

131530504 is a gapful number since it is divisible by the number (14) 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 131530504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963190).

131530504 is an abundant number, since it is smaller than the sum of its proper divisors (156395876).

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

131530504 is a wasteful number, since it uses less digits than its factorization.

131530504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 131530504 is about 11468.6749016615. The cubic root of 131530504 is about 508.5599566671.

Adding to 131530504 its reverse (405035131), we get a palindrome (536565635).

The spelling of 131530504 in words is "one hundred thirty-one million, five hundred thirty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 421 797 842 1594 1684 2947 3188 3368 5579 5894 6376 11158 11788 20629 22316 23576 39053 41258 44632 78106 82516 156212 165032 312424 335537 671074 1342148 2348759 2684296 4697518 9395036 16441313 18790072 32882626 65765252 131530504