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460113040 = 2455751413
BaseRepresentation
bin11011011011001…
…100010010010000
31012001210011102201
4123123030102100
51420242104130
6113353452544
714254616302
oct3333142220
91161704381
10460113040
112167a3812
1210a111154
137442ab4a
1445171972
152a5d9bca
hex1b6cc490

460113040 has 20 divisors (see below), whose sum is σ = 1069763004. Its totient is φ = 184045184.

The previous prime is 460113023. The next prime is 460113077. The reversal of 460113040 is 40311064.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 342694144 + 117418896 = 18512^2 + 10836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 460112999 and 460113017.

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 3 ways as a sum of consecutive naturals, for example, 2875627 + ... + 2875786.

Almost surely, 2460113040 is an apocalyptic number.

460113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460113040 is an abundant number, since it is smaller than the sum of its proper divisors (609649964).

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

460113040 is a wasteful number, since it uses less digits than its factorization.

460113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751426 (or 5751420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 460113040 is about 21450.2456862387. The cubic root of 460113040 is about 772.0074900613.

The spelling of 460113040 in words is "four hundred sixty million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5751413 11502826 23005652 28757065 46011304 57514130 92022608 115028260 230056520 460113040