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21760668 = 22322341641
BaseRepresentation
bin101001100000…
…0101010011100
31111221120000200
41103000222130
521032320133
62054223500
7352651116
oct123005234
944846020
1021760668
1111313126
127354b90
13467b947
142c663b6
151d9c913
hex14c0a9c

21760668 has 72 divisors (see below), whose sum is σ = 58889376. Its totient is φ = 6758400.

The previous prime is 21760639. The next prime is 21760679. The reversal of 21760668 is 86606712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33628 + ... + 34268.

It is an arithmetic number, because the mean of its divisors is an integer number (817908).

Almost surely, 221760668 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 21760668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29444688).

21760668 is an abundant number, since it is smaller than the sum of its proper divisors (37128708).

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

21760668 is a wasteful number, since it uses less digits than its factorization.

21760668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 21760668 is about 4664.8331159860. The cubic root of 21760668 is about 279.1841386654.

The spelling of 21760668 in words is "twenty-one million, seven hundred sixty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 641 738 828 943 1282 1476 1886 1923 2564 2829 3772 3846 5658 5769 7692 8487 11316 11538 14743 16974 23076 26281 29486 33948 44229 52562 58972 78843 88458 105124 132687 157686 176916 236529 265374 315372 473058 530748 604463 946116 1208926 1813389 2417852 3626778 5440167 7253556 10880334 21760668