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130704100 = 225210112941
BaseRepresentation
bin1111100101001…
…10001011100100
3100002221110022121
413302212023210
5231430012400
620545235324
73144652342
oct762461344
9302843277
10130704100
1167862a1a
1237932b44
1321104107
1413504992
15b71c21a
hex7ca62e4

130704100 has 36 divisors (see below), whose sum is σ = 286458228. Its totient is φ = 51760000.

The previous prime is 130704089. The next prime is 130704121. The reversal of 130704100 is 1407031.

130704100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10407076 + 120297024 = 3226^2 + 10968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3630 + ... + 16570.

It is an arithmetic number, because the mean of its divisors is an integer number (7957173).

Almost surely, 2130704100 is an apocalyptic number.

130704100 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 130704100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143229114).

130704100 is an abundant number, since it is smaller than the sum of its proper divisors (155754128).

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

130704100 is a wasteful number, since it uses less digits than its factorization.

130704100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 130704100 is about 11432.5893829876. The cubic root of 130704100 is about 507.4926269080.

The spelling of 130704100 in words is "one hundred thirty million, seven hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 12941 25882 51764 64705 129410 258820 323525 647050 1294100 1307041 2614082 5228164 6535205 13070410 26140820 32676025 65352050 130704100