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130730020 = 22535318517
BaseRepresentation
bin1111100101011…
…00100000100100
3100002222202212121
413302230200210
5231431330040
620545555324
73145121041
oct762544044
9302882777
10130730020
1167880443
1237945b44
1321112b55
14135101c8
15b724c4a
hex7cac824

130730020 has 24 divisors (see below), whose sum is σ = 275325624. Its totient is φ = 52141056.

The previous prime is 130730011. The next prime is 130730021. The reversal of 130730020 is 20037031.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 127373796 = 1832^2 + 11286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130729976 and 130730003.

It is not an unprimeable number, because it can be changed into a prime (130730021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2199 + ... + 16318.

It is an arithmetic number, because the mean of its divisors is an integer number (11471901).

Almost surely, 2130730020 is an apocalyptic number.

130730020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130730020 is an abundant number, since it is smaller than the sum of its proper divisors (144595604).

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

130730020 is a wasteful number, since it uses less digits than its factorization.

130730020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18879 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 130730020 is about 11433.7229282504. The cubic root of 130730020 is about 507.5261717355.

Adding to 130730020 its reverse (20037031), we get a palindrome (150767051).

The spelling of 130730020 in words is "one hundred thirty million, seven hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 18517 37034 74068 92585 185170 370340 6536501 13073002 26146004 32682505 65365010 130730020