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130681516 = 22717293937
BaseRepresentation
bin1111100101000…
…00101010101100
3100002220022100011
413302200222230
5231423302031
620544543004
73144526450
oct762405254
9302808304
10130681516
1167847a59
1237921a64
13210c6a54
14134da660
15b7156b1
hex7ca0aac

130681516 has 48 divisors (see below), whose sum is σ = 277978176. Its totient is φ = 52475904.

The previous prime is 130681513. The next prime is 130681531. The reversal of 130681516 is 615186031.

It is not an unprimeable number, because it can be changed into a prime (130681513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139000 + ... + 139936.

It is an arithmetic number, because the mean of its divisors is an integer number (5791212).

Almost surely, 2130681516 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 130681516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138989088).

130681516 is an abundant number, since it is smaller than the sum of its proper divisors (147296660).

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

130681516 is a wasteful number, since it uses less digits than its factorization.

130681516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 130681516 is about 11431.6016375659. The cubic root of 130681516 is about 507.4633958085.

The spelling of 130681516 in words is "one hundred thirty million, six hundred eighty-one thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 293 476 586 937 1172 1874 2051 3748 4102 4981 6559 8204 9962 13118 15929 19924 26236 31858 34867 63716 69734 111503 139468 223006 274541 446012 549082 1098164 1921787 3843574 4667197 7687148 9334394 18668788 32670379 65340758 130681516