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130564252 = 22713409877
BaseRepresentation
bin1111100100001…
…00000010011100
3100002200100111001
413302010002130
5231411024002
620542240044
73143530540
oct762040234
9302610431
10130564252
1167777945
1237886024
1321085570
14134a9a20
15b6e0a87
hex7c8409c

130564252 has 48 divisors (see below), whose sum is σ = 282224320. Its totient is φ = 51466752.

The previous prime is 130564249. The next prime is 130564253. The reversal of 130564252 is 252465031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 130564252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130564253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148438 + ... + 149314.

Almost surely, 2130564252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130564252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112160).

130564252 is an abundant number, since it is smaller than the sum of its proper divisors (151660068).

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

130564252 is a wasteful number, since it uses less digits than its factorization.

130564252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 130564252 is about 11426.4715463699. The cubic root of 130564252 is about 507.3115635844.

It can be divided in two parts, 130564 and 252, that added together give a triangular number (130816 = T511).

The spelling of 130564252 in words is "one hundred thirty million, five hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 409 818 877 1636 1754 2863 3508 5317 5726 6139 10634 11401 11452 12278 21268 22802 24556 37219 45604 74438 79807 148876 159614 319228 358693 717386 1434772 2510851 4663009 5021702 9326018 10043404 18652036 32641063 65282126 130564252