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20393728 = 28294167
BaseRepresentation
bin100110111001…
…0111100000000
31102101002221021
41031302330000
520210044403
62005035224
7335225635
oct115627400
942332837
1020393728
111056a123
1269b5b14
1342c06c4
1429cc18c
151bcc8bd
hex1372f00

20393728 has 72 divisors (see below), whose sum is σ = 43782480. Its totient is φ = 9461760.

The previous prime is 20393717. The next prime is 20393729. The reversal of 20393728 is 82739302.

It is a junction number, because it is equal to n+sod(n) for n = 20393693 and 20393702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 304351 + ... + 304417.

It is an arithmetic number, because the mean of its divisors is an integer number (608090).

Almost surely, 220393728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21891240).

20393728 is an abundant number, since it is smaller than the sum of its proper divisors (23388752).

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

20393728 is an equidigital number, since it uses as much as digits as its factorization.

20393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 20393728 is about 4515.9415408085. The cubic root of 20393728 is about 273.2114361611.

The spelling of 20393728 in words is "twenty million, three hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 67 82 116 128 134 164 232 256 268 328 464 536 656 928 1072 1189 1312 1856 1943 2144 2378 2624 2747 3712 3886 4288 4756 5248 5494 7424 7772 8576 9512 10496 10988 15544 17152 19024 21976 31088 38048 43952 62176 76096 79663 87904 124352 152192 159326 175808 248704 304384 318652 351616 497408 637304 703232 1274608 2549216 5098432 10196864 20393728