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130034020 = 225171812113
BaseRepresentation
bin1111100000000…
…10100101100100
3100001200102010211
413300002211210
5231242042040
620523025204
73136161634
oct760024544
9301612124
10130034020
1167445536
123766b204
1320c2b10c
14133ac6c4
15b6388ea
hex7c02964

130034020 has 48 divisors (see below), whose sum is σ = 290869488. Its totient is φ = 48660480.

The previous prime is 130034017. The next prime is 130034027. The reversal of 130034020 is 20430031.

It can be written as a sum of positive squares in 8 ways, for example, as 46457856 + 83576164 = 6816^2 + 9142^2 .

It is not an unprimeable number, because it can be changed into a prime (130034027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60484 + ... + 62596.

It is an arithmetic number, because the mean of its divisors is an integer number (6059781).

Almost surely, 2130034020 is an apocalyptic number.

130034020 is a gapful number since it is divisible by the number (10) 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 130034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145434744).

130034020 is an abundant number, since it is smaller than the sum of its proper divisors (160835468).

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

130034020 is a wasteful number, since it uses less digits than its factorization.

130034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 130034020 is about 11403.2460290919. The cubic root of 130034020 is about 506.6238873931.

Adding to 130034020 its reverse (20430031), we get a palindrome (150464051).

The spelling of 130034020 in words is "one hundred thirty million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 2113 3077 3620 4226 6154 8452 10565 12308 15385 21130 30770 35921 42260 61540 71842 143684 179605 359210 382453 718420 764906 1529812 1912265 3824530 6501701 7649060 13003402 26006804 32508505 65017010 130034020