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460260020 = 225113756543
BaseRepresentation
bin11011011011110…
…000001010110100
31012002001122001102
4123123300022310
51420311310040
6113400545232
714256100643
oct3333601264
91162048042
10460260020
11216894190
1210a182218
137447ca0c
14451ad35a
152a618515
hex1b6f02b4

460260020 has 48 divisors (see below), whose sum is σ = 1082930688. Its totient is φ = 162840960.

The previous prime is 460260019. The next prime is 460260037. The reversal of 460260020 is 20062064.

460260020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 460259974 and 460260001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20132 + ... + 36411.

It is an arithmetic number, because the mean of its divisors is an integer number (22561056).

Almost surely, 2460260020 is an apocalyptic number.

It is an amenable number.

460260020 is an abundant number, since it is smaller than the sum of its proper divisors (622670668).

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

460260020 is a wasteful number, since it uses less digits than its factorization.

460260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56600 (or 56598 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 460260020 is about 21453.6714806580. The cubic root of 460260020 is about 772.0896855008.

The spelling of 460260020 in words is "four hundred sixty million, two hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 56543 113086 226172 282715 565430 621973 1130860 1243946 2092091 2487892 3109865 4184182 6219730 8368364 10460455 12439460 20920910 23013001 41841820 46026002 92052004 115065005 230130010 460260020