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460213680 = 24351917557
BaseRepresentation
bin11011011011100…
…100110110110000
31012001222021111010
4123123210312300
51420303314210
6113355550520
714255515563
oct3333446660
91161867433
10460213680
11216862393
1210a15b440
13744648b4
144519a4da
152a609920
hex1b6e4db0

460213680 has 40 divisors (see below), whose sum is σ = 1426663152. Its totient is φ = 122723584.

The previous prime is 460213679. The next prime is 460213703. The reversal of 460213680 is 86312064.

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

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 7 ways as a sum of consecutive naturals, for example, 958539 + ... + 959018.

Almost surely, 2460213680 is an apocalyptic number.

460213680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460213680 is an abundant number, since it is smaller than the sum of its proper divisors (966449472).

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

460213680 is a wasteful number, since it uses less digits than its factorization.

460213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917573 (or 1917567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 460213680 is about 21452.5914518503. The cubic root of 460213680 is about 772.0637727303.

The spelling of 460213680 in words is "four hundred sixty million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1917557 3835114 5752671 7670228 9587785 11505342 15340456 19175570 23010684 28763355 30680912 38351140 46021368 57526710 76702280 92042736 115053420 153404560 230106840 460213680