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10268420 = 225677997
BaseRepresentation
bin100111001010…
…111100000100
3201022200121212
4213022330010
510112042140
61004030552
7153165041
oct47127404
921280555
1010268420
1158838a8
123532458
132186ab6
1415141c8
15d7c765
hex9caf04

10268420 has 48 divisors (see below), whose sum is σ = 22391040. Its totient is φ = 3953664.

The previous prime is 10268413. The next prime is 10268431. The reversal of 10268420 is 2486201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105812 + ... + 105908.

It is an arithmetic number, because the mean of its divisors is an integer number (466480).

Almost surely, 210268420 is an apocalyptic number.

10268420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10268420 is an abundant number, since it is smaller than the sum of its proper divisors (12122620).

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

10268420 is a wasteful number, since it uses less digits than its factorization.

10268420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10268420 is about 3204.4375481510. The cubic root of 10268420 is about 217.3541189382.

The spelling of 10268420 in words is "ten million, two hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 79 97 134 158 194 268 316 335 388 395 485 670 790 970 1340 1580 1940 5293 6499 7663 10586 12998 15326 21172 25996 26465 30652 32495 38315 52930 64990 76630 105860 129980 153260 513421 1026842 2053684 2567105 5134210 10268420