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130892200 = 23526411021
BaseRepresentation
bin1111100110101…
…00000110101000
3100010022000100021
413303110012220
5232002022300
620553250224
73146364625
oct763240650
9303260307
10130892200
116798127a
1237a03974
132116b90a
141355334c
15b757d1a
hex7cd41a8

130892200 has 48 divisors (see below), whose sum is σ = 305097660. Its totient is φ = 52224000.

The previous prime is 130892173. The next prime is 130892219. The reversal of 130892200 is 2298031.

It can be written as a sum of positive squares in 6 ways, for example, as 82700836 + 48191364 = 9094^2 + 6942^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127690 + ... + 128710.

Almost surely, 2130892200 is an apocalyptic number.

130892200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130892200 is an abundant number, since it is smaller than the sum of its proper divisors (174205460).

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

130892200 is a wasteful number, since it uses less digits than its factorization.

130892200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 130892200 is about 11440.8129081810. The cubic root of 130892200 is about 507.7359592568.

The spelling of 130892200 in words is "one hundred thirty million, eight hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 641 1021 1282 2042 2564 3205 4084 5105 5128 6410 8168 10210 12820 16025 20420 25525 25640 32050 40840 51050 64100 102100 128200 204200 654461 1308922 2617844 3272305 5235688 6544610 13089220 16361525 26178440 32723050 65446100 130892200