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499007120 = 24517366917
BaseRepresentation
bin11101101111100…
…011111010010000
31021202222012002012
4131233203322100
52010221211440
6121303242052
715236330153
oct3557437220
91252865065
10499007120
11236749487
1211b149328
137c4c81b1
144a3b7c9a
152dc1de65
hex1dbe3e90

499007120 has 40 divisors (see below), whose sum is σ = 1228441464. Its totient is φ = 187860992.

The previous prime is 499007111. The next prime is 499007143. The reversal of 499007120 is 21700994.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 489471376 = 3088^2 + 22124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182099 + ... + 184818.

Almost surely, 2499007120 is an apocalyptic number.

499007120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

499007120 is an abundant number, since it is smaller than the sum of its proper divisors (729434344).

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

499007120 is a wasteful number, since it uses less digits than its factorization.

499007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366947 (or 366941 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 499007120 is about 22338.4672706074. The cubic root of 499007120 is about 793.1748115974.

The spelling of 499007120 in words is "four hundred ninety-nine million, seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 366917 733834 1467668 1834585 2935336 3669170 5870672 6237589 7338340 12475178 14676680 24950356 29353360 31187945 49900712 62375890 99801424 124751780 249503560 499007120