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496730120 = 235101122953
BaseRepresentation
bin11101100110111…
…000000000001000
31021121200111121212
4131212320000020
52004130330440
6121142352252
715211064525
oct3546700010
91247614555
10496730120
11235433767
1211a42b688
137bbab963
1449d8414c
152d91e465
hex1d9b8008

496730120 has 32 divisors (see below), whose sum is σ = 1128717720. Its totient is φ = 196723200.

The previous prime is 496730111. The next prime is 496730131. The reversal of 496730120 is 21037694.

It can be written as a sum of positive squares in 4 ways, for example, as 491863684 + 4866436 = 22178^2 + 2206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57437 + ... + 65516.

Almost surely, 2496730120 is an apocalyptic number.

496730120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496730120 is an abundant number, since it is smaller than the sum of its proper divisors (631987600).

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

496730120 is a wasteful number, since it uses less digits than its factorization.

496730120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123065 (or 123061 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 496730120 is about 22287.4431014417. The cubic root of 496730120 is about 791.9665368646.

The spelling of 496730120 in words is "four hundred ninety-six million, seven hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 122953 245906 491812 614765 983624 1229530 2459060 4918120 12418253 24836506 49673012 62091265 99346024 124182530 248365060 496730120