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20475728 = 24741341
BaseRepresentation
bin100111000011…
…0111101010000
31102112021102022
41032012331100
520220210403
62010511012
7336020000
oct116067520
942467368
1020475728
1110615799
126a35468
13431bb20
142a10000
151be6d38
hex1386f50

20475728 has 100 divisors (see below), whose sum is σ = 51056628. Its totient is φ = 7902720.

The previous prime is 20475709. The next prime is 20475731. The reversal of 20475728 is 82757402.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 18593344 = 1372^2 + 4312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499388 + ... + 499428.

Almost surely, 220475728 is an apocalyptic number.

20475728 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 20475728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528314).

20475728 is an abundant number, since it is smaller than the sum of its proper divisors (30580900).

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

20475728 is an equidigital number, since it uses as much as digits as its factorization.

20475728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 20475728 is about 4525.0113812012. The cubic root of 20475728 is about 273.5771266630.

The spelling of 20475728 in words is "twenty million, four hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 49 52 56 82 91 98 104 112 164 182 196 208 287 328 343 364 392 533 574 637 656 686 728 784 1066 1148 1274 1372 1456 2009 2132 2296 2401 2548 2744 3731 4018 4264 4459 4592 4802 5096 5488 7462 8036 8528 8918 9604 10192 14063 14924 16072 17836 19208 26117 28126 29848 31213 32144 35672 38416 52234 56252 59696 62426 71344 98441 104468 112504 124852 182819 196882 208936 225008 249704 365638 393764 417872 499408 731276 787528 1279733 1462552 1575056 2559466 2925104 5118932 10237864 20475728