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130642624 = 267241659
BaseRepresentation
bin1111100100101…
…11001011000000
3100002211022222201
413302113023000
5231421030444
620544042544
73144305200
oct762271300
9302738881
10130642624
1167820812
1237903454
13210b2138
14134ca400
15b708dd4
hex7c972c0

130642624 has 42 divisors (see below), whose sum is σ = 301576740. Its totient is φ = 55988352.

The previous prime is 130642621. The next prime is 130642639. The reversal of 130642624 is 426246031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130642592 and 130642601.

It is not an unprimeable number, because it can be changed into a prime (130642621) 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 5 ways as a sum of consecutive naturals, for example, 17694 + ... + 23965.

Almost surely, 2130642624 is an apocalyptic number.

130642624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130642624 is an abundant number, since it is smaller than the sum of its proper divisors (170934116).

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

130642624 is an equidigital number, since it uses as much as digits as its factorization.

130642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41685 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 130642624 is about 11429.9004370117. The cubic root of 130642624 is about 507.4130489163.

Adding to 130642624 its reverse (426246031), we get a palindrome (556888655).

The spelling of 130642624 in words is "one hundred thirty million, six hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 41659 83318 166636 291613 333272 583226 666544 1166452 1333088 2041291 2332904 2666176 4082582 4665808 8165164 9331616 16330328 18663232 32660656 65321312 130642624