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20876768 = 2511127467
BaseRepresentation
bin100111110100…
…0110111100000
31110021122112122
41033220313200
520321024033
62023243412
7342310133
oct117506740
943248478
1020876768
111086a030
126ba9568
13442c523
142ab621a
151c75a98
hex13e8de0

20876768 has 48 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 9394560.

The previous prime is 20876767. The next prime is 20876771. The reversal of 20876768 is 86767802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20876767) 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, 44471 + ... + 44937.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 220876768 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 20876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

20876768 is an abundant number, since it is smaller than the sum of its proper divisors (24410656).

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

20876768 is a wasteful number, since it uses less digits than its factorization.

20876768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 20876768 is about 4569.1101978394. The cubic root of 20876768 is about 275.3516954820.

The spelling of 20876768 in words is "twenty million, eight hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 467 508 934 1016 1397 1868 2032 2794 3736 4064 5137 5588 7472 10274 11176 14944 20548 22352 41096 44704 59309 82192 118618 164384 237236 474472 652399 948944 1304798 1897888 2609596 5219192 10438384 20876768