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130728900 = 22352435763
BaseRepresentation
bin1111100101011…
…00001111000100
3100002222201100010
413302230033010
5231431311100
620545550220
73145114551
oct762541704
9302881303
10130728900
116787a615
1237945370
13211124a3
141350da28
15b724750
hex7cac3c4

130728900 has 36 divisors (see below), whose sum is σ = 378243152. Its totient is φ = 34860960.

The previous prime is 130728887. The next prime is 130728931. The reversal of 130728900 is 9827031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 217582 + ... + 218181.

Almost surely, 2130728900 is an apocalyptic number.

130728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130728900 is an abundant number, since it is smaller than the sum of its proper divisors (247514252).

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

130728900 is a wasteful number, since it uses less digits than its factorization.

130728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435780 (or 435773 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 130728900 is about 11433.6739502226. The cubic root of 130728900 is about 507.5247223593.

The spelling of 130728900 in words is "one hundred thirty million, seven hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 435763 871526 1307289 1743052 2178815 2614578 4357630 5229156 6536445 8715260 10894075 13072890 21788150 26145780 32682225 43576300 65364450 130728900