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130054200 = 23352216757
BaseRepresentation
bin1111100000001…
…11100000111000
3100001201102211020
413300013200320
5231243213300
620523302440
73136304523
oct760074070
9301642736
10130054200
1167459711
123767aa20
1320c37363
14133b5bba
15b63e8a0
hex7c07838

130054200 has 48 divisors (see below), whose sum is σ = 403169880. Its totient is φ = 34680960.

The previous prime is 130054193. The next prime is 130054201. The reversal of 130054200 is 2450031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130054200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130054201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107779 + ... + 108978.

Almost surely, 2130054200 is an apocalyptic number.

130054200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130054200 is an abundant number, since it is smaller than the sum of its proper divisors (273115680).

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

130054200 is a wasteful number, since it uses less digits than its factorization.

130054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216776 (or 216767 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130054200 is about 11404.1308305368. The cubic root of 130054200 is about 506.6500937177.

It can be divided in two parts, 13005 and 4200, that added together give a triangular number (17205 = T185).

The spelling of 130054200 in words is "one hundred thirty million, fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 216757 433514 650271 867028 1083785 1300542 1734056 2167570 2601084 3251355 4335140 5202168 5418925 6502710 8670280 10837850 13005420 16256775 21675700 26010840 32513550 43351400 65027100 130054200