Search a number
-
+
20661664 = 2517191999
BaseRepresentation
bin100111011010…
…0010110100000
31102212201110211
41032310112200
520242133124
62014503504
7340423042
oct116642640
942781424
1020661664
1110732461
126b04b94
13438564a
142a5ba92
151c31e94
hex13b45a0

20661664 has 48 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 9206784.

The previous prime is 20661643. The next prime is 20661689. The reversal of 20661664 is 46616602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9337 + ... + 11335.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 220661664 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 20661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20661664 is an abundant number, since it is smaller than the sum of its proper divisors (24698336).

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

20661664 is a wasteful number, since it uses less digits than its factorization.

20661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 20661664 is about 4545.5103123852. The cubic root of 20661664 is about 274.4027323944.

The spelling of 20661664 in words is "twenty million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 1999 2584 3998 5168 7996 10336 15992 31984 33983 37981 63968 67966 75962 135932 151924 271864 303848 543728 607696 645677 1087456 1215392 1291354 2582708 5165416 10330832 20661664