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20306664 = 2332743937
BaseRepresentation
bin100110101110…
…1101011101000
31102012200111200
41031131223220
520144303124
62003124200
7334414050
oct115355350
942180450
1020306664
111050a774
126973660
13428cba1
1429a8560
151bb1bc9
hex135dae8

20306664 has 96 divisors (see below), whose sum is σ = 64384320. Its totient is φ = 5660928.

The previous prime is 20306651. The next prime is 20306681. The reversal of 20306664 is 46660302.

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, 21204 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (670670).

Almost surely, 220306664 is an apocalyptic number.

20306664 is a gapful number since it is divisible by the number (24) 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 20306664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32192160).

20306664 is an abundant number, since it is smaller than the sum of its proper divisors (44077656).

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

20306664 is a wasteful number, since it uses less digits than its factorization.

20306664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20306664 is about 4506.2916017497. The cubic root of 20306664 is about 272.8220875183.

Adding to 20306664 its reverse (46660302), we get a palindrome (66966966).

The spelling of 20306664 in words is "twenty million, three hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 937 1032 1204 1548 1806 1874 2408 2709 2811 3096 3612 3748 5418 5622 6559 7224 7496 8433 10836 11244 13118 16866 19677 21672 22488 26236 33732 39354 40291 52472 59031 67464 78708 80582 118062 120873 157416 161164 236124 241746 282037 322328 362619 472248 483492 564074 725238 846111 966984 1128148 1450476 1692222 2256296 2538333 2900952 3384444 5076666 6768888 10153332 20306664