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130109600 = 25521031579
BaseRepresentation
bin1111100000101…
…01000010100000
3100001211020211002
413300111002200
5231302001400
620524411132
73136625165
oct760250240
9301736732
10130109600
11674972a5
12376a6aa8
1320c5663a
14133cc06c
15b650ed5
hex7c150a0

130109600 has 72 divisors (see below), whose sum is σ = 320916960. Its totient is φ = 51505920.

The previous prime is 130109569. The next prime is 130109621. The reversal of 130109600 is 6901031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 81611 + ... + 83189.

It is an arithmetic number, because the mean of its divisors is an integer number (4457180).

Almost surely, 2130109600 is an apocalyptic number.

130109600 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 130109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160458480).

130109600 is an abundant number, since it is smaller than the sum of its proper divisors (190807360).

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

130109600 is a wasteful number, since it uses less digits than its factorization.

130109600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 130109600 is about 11406.5595163485. The cubic root of 130109600 is about 506.7220238069.

The spelling of 130109600 in words is "one hundred thirty million, one hundred nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 160 200 206 400 412 515 800 824 1030 1579 1648 2060 2575 3158 3296 4120 5150 6316 7895 8240 10300 12632 15790 16480 20600 25264 31580 39475 41200 50528 63160 78950 82400 126320 157900 162637 252640 315800 325274 631600 650548 813185 1263200 1301096 1626370 2602192 3252740 4065925 5204384 6505480 8131850 13010960 16263700 26021920 32527400 65054800 130109600