Search a number
-
+
130740624 = 2432732647
BaseRepresentation
bin1111100101011…
…11000110010000
3100010000022102100
413302233012100
5231432144444
620550120400
73145164000
oct762570620
9303008370
10130740624
1167888403
1237950100
1321117921
1413514000
15b727e69
hex7caf190

130740624 has 120 divisors (see below), whose sum is σ = 426857600. Its totient is φ = 37340352.

The previous prime is 130740619. The next prime is 130740641. The reversal of 130740624 is 426047031.

130740624 is a `hidden beast` number, since 1 + 30 + 7 + 4 + 0 + 624 = 666.

It is a super-2 number, since 2×1307406242 = 34186221527818752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48069 + ... + 50715.

Almost surely, 2130740624 is an apocalyptic number.

130740624 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 130740624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213428800).

130740624 is an abundant number, since it is smaller than the sum of its proper divisors (296116976).

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

130740624 is a wasteful number, since it uses less digits than its factorization.

130740624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 130740624 is about 11434.1866348245. The cubic root of 130740624 is about 507.5398938120.

Adding to 130740624 its reverse (426047031), we get a palindrome (556787655).

The spelling of 130740624 in words is "one hundred thirty million, seven hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2647 2744 3087 3528 4116 5294 5488 6174 7056 7941 8232 10588 12348 15882 16464 18529 21176 23823 24696 31764 37058 42352 47646 49392 55587 63528 74116 95292 111174 127056 129703 148232 166761 190584 222348 259406 296464 333522 381168 389109 444696 518812 667044 778218 889392 907921 1037624 1167327 1334088 1556436 1815842 2075248 2334654 2668176 2723763 3112872 3631684 4669308 5447526 6225744 7263368 8171289 9338616 10895052 14526736 16342578 18677232 21790104 32685156 43580208 65370312 130740624