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21989688 = 233719832
BaseRepresentation
bin101001111100…
…0100100111000
31112101012011220
41103320210320
521112132223
62103152040
7354623610
oct123704470
945335156
1021989688
111145a1a6
127445620
13472bc66
142cc5a40
151de56e3
hex14f8938

21989688 has 96 divisors (see below), whose sum is σ = 66940800. Its totient is φ = 5880384.

The previous prime is 21989659. The next prime is 21989689. The reversal of 21989688 is 88698912.

It is a self number, because there is not a number n which added to its sum of digits gives 21989688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21989689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264895 + ... + 264977.

It is an arithmetic number, because the mean of its divisors is an integer number (697300).

Almost surely, 221989688 is an apocalyptic number.

21989688 is a gapful number since it is divisible by the number (28) 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 21989688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33470400).

21989688 is an abundant number, since it is smaller than the sum of its proper divisors (44951112).

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

21989688 is a wasteful number, since it uses less digits than its factorization.

21989688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 114 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 21989688 is about 4689.3163680861. The cubic root of 21989688 is about 280.1601464817.

The spelling of 21989688 in words is "twenty-one million, nine hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 83 84 114 133 152 166 168 228 249 266 332 399 456 498 532 581 664 798 996 1064 1162 1577 1596 1743 1992 2324 3154 3192 3486 4648 4731 6308 6889 6972 9462 11039 12616 13778 13944 18924 20667 22078 27556 33117 37848 41334 44156 48223 55112 66234 82668 88312 96446 130891 132468 144669 165336 192892 261782 264936 289338 385784 392673 523564 578676 785346 916237 1047128 1157352 1570692 1832474 2748711 3141384 3664948 5497422 7329896 10994844 21989688