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130145928 = 23311599823
BaseRepresentation
bin1111100000111…
…01111010001000
3100001220002122120
413300131322020
5231304132203
620525251240
73140136123
oct760357210
9301802576
10130145928
1167511620
1237703b20
1320c6a033
14133db3ba
15b65bb53
hex7c1de88

130145928 has 64 divisors (see below), whose sum is σ = 355968000. Its totient is φ = 39324480.

The previous prime is 130145927. The next prime is 130145929. The reversal of 130145928 is 829541031.

It is an interprime number because it is at equal distance from previous prime (130145927) and next prime (130145929).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130145921) 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, 157725 + ... + 158547.

It is an arithmetic number, because the mean of its divisors is an integer number (5562000).

Almost surely, 2130145928 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 130145928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177984000).

130145928 is an abundant number, since it is smaller than the sum of its proper divisors (225822072).

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

130145928 is a wasteful number, since it uses less digits than its factorization.

130145928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 130145928 is about 11408.1518222717. The cubic root of 130145928 is about 506.7691801651.

Adding to 130145928 its reverse (829541031), we get a palindrome (959686959).

The spelling of 130145928 in words is "one hundred thirty million, one hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 599 823 1198 1646 1797 2396 2469 3292 3594 4792 4938 6584 6589 7188 9053 9876 13178 14376 18106 19752 19767 26356 27159 36212 39534 52712 54318 72424 79068 108636 158136 217272 492977 985954 1478931 1971908 2957862 3943816 5422747 5915724 10845494 11831448 16268241 21690988 32536482 43381976 65072964 130145928