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130013562 = 237247972
BaseRepresentation
bin1111011111111…
…01100101111010
3100001122101002010
413233331211322
5231240413222
620522350350
73136045200
oct757754572
9301571063
10130013562
1167431128
123765b3b6
1320c21a03
14133a5070
15b63280c
hex7bfd97a

130013562 has 72 divisors (see below), whose sum is σ = 312133824. Its totient is φ = 35981568.

The previous prime is 130013537. The next prime is 130013573. The reversal of 130013562 is 265310031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1340298 + ... + 1340394.

It is an arithmetic number, because the mean of its divisors is an integer number (4335192).

Almost surely, 2130013562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156066912).

130013562 is an abundant number, since it is smaller than the sum of its proper divisors (182120262).

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

130013562 is an equidigital number, since it uses as much as digits as its factorization.

130013562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130013562 is about 11402.3489685240. The cubic root of 130013562 is about 506.5973172819.

Adding to 130013562 its reverse (265310031), we get a palindrome (395323593).

The spelling of 130013562 in words is "one hundred thirty million, thirteen thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 97 98 141 147 194 282 291 294 329 582 658 679 987 1358 1974 2037 2303 4074 4559 4606 4753 6909 9118 9409 9506 13677 13818 14259 18818 27354 28227 28518 31913 56454 63826 65863 95739 131726 191478 197589 223391 395178 442223 446782 461041 670173 884446 922082 1326669 1340346 1383123 2653338 2766246 3095561 6191122 9286683 18573366 21668927 43337854 65006781 130013562