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20428268 = 2271924347
BaseRepresentation
bin100110111101…
…1010111101100
31102102212022112
41031323113230
520212201033
62005503152
7335431430
oct115732754
942385275
1020428268
1110593073
126a11ab8
134303343
1429da9c0
151bd7c48
hex137b5ec

20428268 has 72 divisors (see below), whose sum is σ = 45061632. Its totient is φ = 7928928.

The previous prime is 20428241. The next prime is 20428273. The reversal of 20428268 is 86282402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434621 + ... + 434667.

It is an arithmetic number, because the mean of its divisors is an integer number (625856).

Almost surely, 220428268 is an apocalyptic number.

20428268 is a gapful number since it is divisible by the number (28) 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 20428268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530816).

20428268 is an abundant number, since it is smaller than the sum of its proper divisors (24633364).

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

20428268 is a wasteful number, since it uses less digits than its factorization.

20428268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 20428268 is about 4519.7641531390. The cubic root of 20428268 is about 273.3655914073.

The spelling of 20428268 in words is "twenty million, four hundred twenty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 43 47 76 86 94 133 172 188 266 301 329 361 532 602 658 722 817 893 1204 1316 1444 1634 1786 2021 2527 3268 3572 4042 5054 5719 6251 8084 10108 11438 12502 14147 15523 16967 22876 25004 28294 31046 33934 38399 56588 62092 67868 76798 108661 118769 153596 217322 237538 268793 434644 475076 537586 729581 1075172 1459162 2918324 5107067 10214134 20428268