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20831460 = 223513171571
BaseRepresentation
bin100111101110…
…1110011100100
31110012100101120
41033131303210
520313101320
62022253540
7342031056
oct117356344
943170346
1020831460
1110838a91
126b872b0
134414a10
142aa38d6
151c67440
hex13ddce4

20831460 has 96 divisors (see below), whose sum is σ = 66552192. Its totient is φ = 4823040.

The previous prime is 20831323. The next prime is 20831533. The reversal of 20831460 is 6413802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20831460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12475 + ... + 14045.

It is an arithmetic number, because the mean of its divisors is an integer number (693252).

Almost surely, 220831460 is an apocalyptic number.

20831460 is a gapful number since it is divisible by the number (20) 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 20831460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276096).

20831460 is an abundant number, since it is smaller than the sum of its proper divisors (45720732).

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

20831460 is a wasteful number, since it uses less digits than its factorization.

20831460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20831460 is about 4564.1494278781. The cubic root of 20831460 is about 275.1523563468.

The spelling of 20831460 in words is "twenty million, eight hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 1571 2210 2652 3142 3315 4420 4713 6284 6630 7855 9426 13260 15710 18852 20423 23565 26707 31420 40846 47130 53414 61269 80121 81692 94260 102115 106828 122538 133535 160242 204230 245076 267070 306345 320484 347191 400605 408460 534140 612690 694382 801210 1041573 1225380 1388764 1602420 1735955 2083146 3471910 4166292 5207865 6943820 10415730 20831460