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20088832 = 21117577
BaseRepresentation
bin100110010100…
…0100000000000
31101210121200211
41030220200000
520120320312
61554323504
7332516011
oct114504000
941717624
1020088832
1110381045
126889594
1342149aa
14294d008
151b6c3a7
hex1328800

20088832 has 48 divisors (see below), whose sum is σ = 42604380. Its totient is φ = 9437184.

The previous prime is 20088823. The next prime is 20088839. The reversal of 20088832 is 23888002.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 4596736 = 3936^2 + 2144^2 .

It is a super-2 number, since 2×200888322 = 807122342248448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20088794 and 20088803.

It is not an unprimeable number, because it can be changed into a prime (20088839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34528 + ... + 35104.

Almost surely, 220088832 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 20088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302190).

20088832 is an abundant number, since it is smaller than the sum of its proper divisors (22515548).

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

20088832 is an equidigital number, since it uses as much as digits as its factorization.

20088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 20088832 is about 4482.0566707707. The cubic root of 20088832 is about 271.8430467049.

The spelling of 20088832 in words is "twenty million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 577 1024 1088 1154 2048 2176 2308 4352 4616 8704 9232 9809 17408 18464 19618 34816 36928 39236 73856 78472 147712 156944 295424 313888 590848 627776 1181696 1255552 2511104 5022208 10044416 20088832