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20838528 = 273218089
BaseRepresentation
bin100111101111…
…1100010000000
31110012201002100
41033133202000
520313313103
62022350400
7342060504
oct117374200
943181070
1020838528
1110843327
126b8b400
134417cb9
142aa6304
151c695a3
hex13df880

20838528 has 48 divisors (see below), whose sum is σ = 59968350. Its totient is φ = 6945792.

The previous prime is 20838527. The next prime is 20838569. The reversal of 20838528 is 82583802.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 7354944 = 3672^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20838492 and 20838501.

It is not an unprimeable number, because it can be changed into a prime (20838527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7893 + ... + 10196.

Almost surely, 220838528 is an apocalyptic number.

It is an amenable number.

20838528 is an abundant number, since it is smaller than the sum of its proper divisors (39129822).

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

20838528 is a wasteful number, since it uses less digits than its factorization.

20838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 20838528 is about 4564.9236576311. The cubic root of 20838528 is about 275.1834720559.

The spelling of 20838528 in words is "twenty million, eight hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18089 36178 54267 72356 108534 144712 162801 217068 289424 325602 434136 578848 651204 868272 1157696 1302408 1736544 2315392 2604816 3473088 5209632 6946176 10419264 20838528