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130200504 = 23372113673
BaseRepresentation
bin1111100001010…
…11001110111000
3100001222212111220
413300223032320
5231312404004
620530352040
73140454210
oct760531670
9301885456
10130200504
1167549625
123772b620
1320c88b25
1413413240
15b66cdd9
hex7c2b3b8

130200504 has 64 divisors (see below), whose sum is σ = 373866240. Its totient is φ = 37013760.

The previous prime is 130200487. The next prime is 130200509. The reversal of 130200504 is 405002031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33612 + ... + 37284.

It is an arithmetic number, because the mean of its divisors is an integer number (5841660).

Almost surely, 2130200504 is an apocalyptic number.

130200504 is a gapful number since it is divisible by the number (14) 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 130200504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186933120).

130200504 is an abundant number, since it is smaller than the sum of its proper divisors (243665736).

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

130200504 is a wasteful number, since it uses less digits than its factorization.

130200504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3896 counting only the distinct ones).

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

The square root of 130200504 is about 11410.5435453356. The cubic root of 130200504 is about 506.8400072490.

Adding to 130200504 its reverse (405002031), we get a palindrome (535202535).

The spelling of 130200504 in words is "one hundred thirty million, two hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 3673 4431 5064 5908 7346 8862 11019 11816 14692 17724 22038 25711 29384 35448 44076 51422 77133 88152 102844 154266 205688 308532 617064 775003 1550006 2325009 3100012 4650018 5425021 6200024 9300036 10850042 16275063 18600072 21700084 32550126 43400168 65100252 130200504