Search a number
-
+
20868576 = 2531811201
BaseRepresentation
bin100111110011…
…0110111100000
31110021020022020
41033212313200
520320243301
62023141440
7342244221
oct117466740
943236266
1020868576
1110863963
126ba4880
134428891
142ab3248
151c73436
hex13e6de0

20868576 has 48 divisors (see below), whose sum is σ = 55128528. Its totient is φ = 6912000.

The previous prime is 20868559. The next prime is 20868577. The reversal of 20868576 is 67586802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16776 + ... + 17976.

It is an arithmetic number, because the mean of its divisors is an integer number (1148511).

Almost surely, 220868576 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 20868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27564264).

20868576 is an abundant number, since it is smaller than the sum of its proper divisors (34259952).

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

20868576 is a wasteful number, since it uses less digits than its factorization.

20868576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 20868576 is about 4568.2136552486. The cubic root of 20868576 is about 275.3156749608.

The spelling of 20868576 in words is "twenty million, eight hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1201 1448 2172 2402 2896 3603 4344 4804 5792 7206 8688 9608 14412 17376 19216 28824 38432 57648 115296 217381 434762 652143 869524 1304286 1739048 2608572 3478096 5217144 6956192 10434288 20868576