Search a number
-
+
130815912 = 23319416997
BaseRepresentation
bin1111100110000…
…01011110101000
3100010011010200210
413303001132220
5231442102122
620551501120
73145626333
oct763013650
9303133623
10130815912
1167929a27
12379877a0
1321142c86
141353361a
15b74040c
hex7cc17a8

130815912 has 64 divisors (see below), whose sum is σ = 352699200. Its totient is φ = 40296960.

The previous prime is 130815911. The next prime is 130815917. The reversal of 130815912 is 219518031.

It is a super-2 number, since 2×1308159122 = 34225605664783488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130815912.

It is not an unprimeable number, because it can be changed into a prime (130815911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15198 + ... + 22194.

It is an arithmetic number, because the mean of its divisors is an integer number (5510925).

Almost surely, 2130815912 is an apocalyptic number.

130815912 is a gapful number since it is divisible by the number (12) 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 130815912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176349600).

130815912 is an abundant number, since it is smaller than the sum of its proper divisors (221883288).

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

130815912 is a wasteful number, since it uses less digits than its factorization.

130815912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 130815912 is about 11437.4783934222. The cubic root of 130815912 is about 507.6372987090.

The spelling of 130815912 in words is "one hundred thirty million, eight hundred fifteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 6997 9348 13994 18696 20991 27988 41982 55976 83964 132943 167928 265886 286877 398829 531772 573754 797658 860631 1063544 1147508 1595316 1721262 2295016 3190632 3442524 5450663 6885048 10901326 16351989 21802652 32703978 43605304 65407956 130815912