Search a number
-
+
20864780 = 22517109563
BaseRepresentation
bin100111110010…
…1111100001100
31110021001002122
41033211330030
520320133110
62023112112
7342230156
oct117457414
943231078
1020864780
1110861022
126ba2638
134426c31
142ab1ad6
151c72255
hex13e5f0c

20864780 has 48 divisors (see below), whose sum is σ = 46902240. Its totient is φ = 7769088.

The previous prime is 20864773. The next prime is 20864783. The reversal of 20864780 is 8746802.

It is a self number, because there is not a number n which added to its sum of digits gives 20864780.

It is not an unprimeable number, because it can be changed into a prime (20864783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36779 + ... + 37341.

It is an arithmetic number, because the mean of its divisors is an integer number (977130).

Almost surely, 220864780 is an apocalyptic number.

20864780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20864780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451120).

20864780 is an abundant number, since it is smaller than the sum of its proper divisors (26037460).

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

20864780 is a wasteful number, since it uses less digits than its factorization.

20864780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 20864780 is about 4567.7981566615. The cubic root of 20864780 is about 275.2989806149.

The spelling of 20864780 in words is "twenty million, eight hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 563 1090 1126 1853 2180 2252 2815 3706 5630 7412 9265 9571 11260 18530 19142 37060 38284 47855 61367 95710 122734 191420 245468 306835 613670 1043239 1227340 2086478 4172956 5216195 10432390 20864780