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130145808 = 24313415087
BaseRepresentation
bin1111100000111…
…01111000010000
3100001220002111010
413300131320100
5231304131213
620525250520
73140135562
oct760357020
9301802433
10130145808
1167511521
1237703a40
1320c69c70
14133db332
15b65bac3
hex7c1de10

130145808 has 80 divisors (see below), whose sum is σ = 370976256. Its totient is φ = 39060480.

The previous prime is 130145797. The next prime is 130145809. The reversal of 130145808 is 808541031.

It is not an unprimeable number, because it can be changed into a prime (130145809) 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, 23041 + ... + 28127.

Almost surely, 2130145808 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 130145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185488128).

130145808 is an abundant number, since it is smaller than the sum of its proper divisors (240830448).

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

130145808 is a wasteful number, since it uses less digits than its factorization.

130145808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 130145808 is about 11408.1465628734. The cubic root of 130145808 is about 506.7690244109.

Adding to 130145808 its reverse (808541031), we get a palindrome (938686839).

The spelling of 130145808 in words is "one hundred thirty million, one hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 5087 6396 8528 10174 12792 15261 20348 25584 30522 40696 61044 66131 81392 122088 132262 198393 208567 244176 264524 396786 417134 529048 625701 793572 834268 1058096 1251402 1587144 1668536 2502804 2711371 3174288 3337072 5005608 5422742 8134113 10011216 10845484 16268226 21690968 32536452 43381936 65072904 130145808