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20009664 = 263234739
BaseRepresentation
bin100110001010…
…1001011000000
31101122121002200
41030111023000
520110302124
61552513200
7332036133
oct114251300
941577080
1020009664
1110327614
12684b800
1341b794c
14292c21a
151b53bc9
hex13152c0

20009664 has 42 divisors (see below), whose sum is σ = 57355740. Its totient is φ = 6669696.

The previous prime is 20009659. The next prime is 20009677. The reversal of 20009664 is 46690002.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16794 + ... + 17945.

Almost surely, 220009664 is an apocalyptic number.

20009664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20009664 is an abundant number, since it is smaller than the sum of its proper divisors (37346076).

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

20009664 is a wasteful number, since it uses less digits than its factorization.

20009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34757 (or 34744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20009664 is about 4473.2162925573. The cubic root of 20009664 is about 271.4854748393.

Adding to 20009664 its reverse (46690002), we get a palindrome (66699666).

It can be divided in two parts, 2000 and 9664, that added together give a square (11664 = 1082).

The spelling of 20009664 in words is "twenty million, nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34739 69478 104217 138956 208434 277912 312651 416868 555824 625302 833736 1111648 1250604 1667472 2223296 2501208 3334944 5002416 6669888 10004832 20009664