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20428408 = 23711132551
BaseRepresentation
bin100110111101…
…1011001111000
31102102212111201
41031323121320
520212202113
62005503544
7335432020
oct115733170
942385451
1020428408
1110593190
126a11bb4
134303420
1429daa80
151bd7cdd
hex137b678

20428408 has 64 divisors (see below), whose sum is σ = 51448320. Its totient is φ = 7344000.

The previous prime is 20428399. The next prime is 20428423. The reversal of 20428408 is 80482402.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 6733 + ... + 9283.

It is an arithmetic number, because the mean of its divisors is an integer number (803880).

Almost surely, 220428408 is an apocalyptic number.

20428408 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 20428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724160).

20428408 is an abundant number, since it is smaller than the sum of its proper divisors (31019912).

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

20428408 is a wasteful number, since it uses less digits than its factorization.

20428408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 20428408 is about 4519.7796406462. The cubic root of 20428408 is about 273.3662158867.

The spelling of 20428408 in words is "twenty million, four hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2551 4004 5102 8008 10204 17857 20408 28061 33163 35714 56122 66326 71428 112244 132652 142856 196427 224488 232141 265304 364793 392854 464282 729586 785708 928564 1459172 1571416 1857128 2553551 2918344 5107102 10214204 20428408