Search a number
-
+
21720768 = 263294783
BaseRepresentation
bin101001011011…
…0111011000000
31111212112021220
41102312323000
521030031033
62053315040
7352423566
oct122667300
944775256
1021720768
1111296153
127335a80
134666734
142c55a36
151d90bb3
hex14b6ec0

21720768 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6759424.

The previous prime is 21720749. The next prime is 21720779. The reversal of 21720768 is 86702712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261655 + ... + 261737.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 221720768 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 21720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

21720768 is an abundant number, since it is smaller than the sum of its proper divisors (39726912).

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

21720768 is a wasteful number, since it uses less digits than its factorization.

21720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 21720768 is about 4660.5544734506. The cubic root of 21720768 is about 279.0133984650.

The spelling of 21720768 in words is "twenty-one million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 83 87 94 96 116 141 166 174 188 192 232 249 282 332 348 376 464 498 564 664 696 752 928 996 1128 1328 1363 1392 1504 1856 1992 2256 2407 2656 2726 2784 3008 3901 3984 4089 4512 4814 5312 5452 5568 7221 7802 7968 8178 9024 9628 10904 11703 14442 15604 15936 16356 19256 21808 23406 28884 31208 32712 38512 43616 46812 57768 62416 65424 77024 87232 93624 113129 115536 124832 130848 154048 187248 226258 231072 249664 261696 339387 374496 452516 462144 678774 748992 905032 1357548 1810064 2715096 3620128 5430192 7240256 10860384 21720768