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130370724 = 22321121732
BaseRepresentation
bin1111100010101…
…00110010100100
3100002022112000100
413301110302210
5231333330344
620534144100
73142063401
oct761246244
9302275010
10130370724
1167655500
12377b2030
1321018453
14134592a8
15b6a3569
hex7c54ca4

130370724 has 81 divisors (see below), whose sum is σ = 364336609. Its totient is φ = 39277920.

The previous prime is 130370719. The next prime is 130370753. The reversal of 130370724 is 427073031.

The square root of 130370724 is 11418.

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

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 11778624 = 10890^2 + 3432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 753502 + ... + 753674.

Almost surely, 2130370724 is an apocalyptic number.

130370724 is the 11418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130370724

130370724 is an abundant number, since it is smaller than the sum of its proper divisors (233965885).

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

130370724 is a wasteful number, since it uses less digits than its factorization.

130370724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The cubic root of 130370724 is about 507.0607865682.

It can be divided in two parts, 1303 and 70724, that added together give a palindrome (72027).

The spelling of 130370724 in words is "one hundred thirty million, three hundred seventy thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 173 198 242 346 363 396 484 519 692 726 1038 1089 1452 1557 1903 2076 2178 3114 3806 4356 5709 6228 7612 11418 17127 20933 22836 29929 34254 41866 59858 62799 68508 83732 89787 119716 125598 179574 188397 251196 269361 329219 359148 376794 538722 658438 753588 987657 1077444 1316876 1975314 2962971 3621409 3950628 5925942 7242818 10864227 11851884 14485636 21728454 32592681 43456908 65185362 130370724