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460206640 = 24543133781
BaseRepresentation
bin11011011011100…
…011001000110000
31012001221220211101
4123123203020300
51420303103030
6113355454144
714255456215
oct3333431060
91161856741
10460206640
11216858073
1210a157354
137446162a
1445197b0c
152a6077ca
hex1b6e3230

460206640 has 40 divisors (see below), whose sum is σ = 1094871888. Its totient is φ = 179800320.

The previous prime is 460206589. The next prime is 460206641. The reversal of 460206640 is 46602064.

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

It is a junction number, because it is equal to n+sod(n) for n = 460206599 and 460206608.

It is not an unprimeable number, because it can be changed into a prime (460206641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63451 + ... + 70330.

Almost surely, 2460206640 is an apocalyptic number.

460206640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460206640 is an abundant number, since it is smaller than the sum of its proper divisors (634665248).

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

460206640 is a wasteful number, since it uses less digits than its factorization.

460206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133837 (or 133831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 460206640 is about 21452.4273684821. The cubic root of 460206640 is about 772.0598358948.

The spelling of 460206640 in words is "four hundred sixty million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 133781 267562 535124 668905 1070248 1337810 2140496 2675620 5351240 5752583 10702480 11505166 23010332 28762915 46020664 57525830 92041328 115051660 230103320 460206640