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10640460 = 2235374793
BaseRepresentation
bin101000100101…
…110001001100
3202000120222010
4220211301030
510210443320
61020021220
7156304515
oct50456114
922016863
1010640460
116008376
123691810
13228723c
1415ada0c
15e02ae0
hexa25c4c

10640460 has 48 divisors (see below), whose sum is σ = 30604896. Its totient is φ = 2760192.

The previous prime is 10640449. The next prime is 10640489. The reversal of 10640460 is 6404601.

It is a super-2 number, since 2×106404602 = 226438778023200, which contains 22 as substring.

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, 177 + ... + 4616.

It is an arithmetic number, because the mean of its divisors is an integer number (637602).

Almost surely, 210640460 is an apocalyptic number.

10640460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302448).

10640460 is an abundant number, since it is smaller than the sum of its proper divisors (19964436).

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

10640460 is a wasteful number, since it uses less digits than its factorization.

10640460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10640460 is about 3261.9717963220. The cubic root of 10640460 is about 219.9480593634.

The spelling of 10640460 in words is "ten million, six hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4793 9586 14379 19172 23965 28758 47930 57516 71895 95860 143790 177341 287580 354682 532023 709364 886705 1064046 1773410 2128092 2660115 3546820 5320230 10640460