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130542524 = 22717416689
BaseRepresentation
bin1111100011111…
…10101110111100
3100002122020200022
413301332232330
5231404330044
620541551312
73143410310
oct761765674
9302566608
10130542524
1167762592
1237875538
13210786c8
14134a1b40
15b6d93ee
hex7c7ebbc

130542524 has 48 divisors (see below), whose sum is σ = 283227840. Its totient is φ = 51363840.

The previous prime is 130542499. The next prime is 130542557. The reversal of 130542524 is 425245031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130542493 and 130542502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16172 + ... + 22860.

It is an arithmetic number, because the mean of its divisors is an integer number (5900580).

Almost surely, 2130542524 is an apocalyptic number.

130542524 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 130542524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141613920).

130542524 is an abundant number, since it is smaller than the sum of its proper divisors (152685316).

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

130542524 is a wasteful number, since it uses less digits than its factorization.

130542524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 130542524 is about 11425.5207321155. The cubic root of 130542524 is about 507.2834204110.

Adding to 130542524 its reverse (425245031), we get a palindrome (555787555).

The spelling of 130542524 in words is "one hundred thirty million, five hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1148 1394 2788 4879 6689 9758 13378 19516 26756 46823 93646 113713 187292 227426 274249 454852 548498 795991 1096996 1591982 1919743 3183964 3839486 4662233 7678972 9324466 18648932 32635631 65271262 130542524