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20880832 = 267127367
BaseRepresentation
bin100111110100…
…1110111000000
31110021212010011
41033221313000
520321141312
62023314304
7342325030
oct117516700
943255104
1020880832
1110872095
126bab994
13443132b
142ab78c0
151c76da7
hex13e9dc0

20880832 has 56 divisors (see below), whose sum is σ = 47857664. Its totient is φ = 8854272.

The previous prime is 20880809. The next prime is 20880833. The reversal of 20880832 is 23808802.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 20880794 and 20880803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20880833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56713 + ... + 57079.

Almost surely, 220880832 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 20880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928832).

20880832 is an abundant number, since it is smaller than the sum of its proper divisors (26976832).

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

20880832 is a wasteful number, since it uses less digits than its factorization.

20880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

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

The square root of 20880832 is about 4569.5549017382. The cubic root of 20880832 is about 275.3695615407.

It can be divided in two parts, 20880 and 832, that added together give a palindrome (21712).

The spelling of 20880832 in words is "twenty million, eight hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 367 448 508 734 889 1016 1468 1778 2032 2569 2936 3556 4064 5138 5872 7112 8128 10276 11744 14224 20552 23488 28448 41104 46609 56896 82208 93218 164416 186436 326263 372872 652526 745744 1305052 1491488 2610104 2982976 5220208 10440416 20880832