Search a number
-
+
21610720 = 255314357
BaseRepresentation
bin101001001110…
…0000011100000
31111122221100001
41102130003200
521013020340
62051105344
7351455005
oct122340340
944587301
1021610720
11112204aa
1272a2254
134628611
142c278ac
151d6d29a
hex149c0e0

21610720 has 48 divisors (see below), whose sum is σ = 52714368. Its totient is φ = 8363520.

The previous prime is 21610691. The next prime is 21610753. The reversal of 21610720 is 2701612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 7138.

It is an arithmetic number, because the mean of its divisors is an integer number (1098216).

Almost surely, 221610720 is an apocalyptic number.

21610720 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 21610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357184).

21610720 is an abundant number, since it is smaller than the sum of its proper divisors (31103648).

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

21610720 is a wasteful number, since it uses less digits than its factorization.

21610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 21610720 is about 4648.7331607654. The cubic root of 21610720 is about 278.5413944640.

The spelling of 21610720 in words is "twenty-one million, six hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4357 4960 8714 17428 21785 34856 43570 69712 87140 135067 139424 174280 270134 348560 540268 675335 697120 1080536 1350670 2161072 2701340 4322144 5402680 10805360 21610720