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20705696 = 251159997
BaseRepresentation
bin100111011111…
…1000110100000
31102221221212122
41032333012200
520300040241
62015443412
7340665314
oct116770640
942857778
1020705696
1110762550
126b26568
13439c6bb
142a6db44
151c4004b
hex13bf1a0

20705696 has 48 divisors (see below), whose sum is σ = 45269280. Its totient is φ = 9242880.

The previous prime is 20705683. The next prime is 20705701. The reversal of 20705696 is 69650702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20270 + ... + 21266.

It is an arithmetic number, because the mean of its divisors is an integer number (943110).

Almost surely, 220705696 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 20705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634640).

20705696 is an abundant number, since it is smaller than the sum of its proper divisors (24563584).

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

20705696 is a wasteful number, since it uses less digits than its factorization.

20705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 20705696 is about 4550.3511952376. The cubic root of 20705696 is about 274.5975203241.

The spelling of 20705696 in words is "twenty million, seven hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 997 1298 1888 1994 2596 3988 5192 7976 10384 10967 15952 20768 21934 31904 43868 58823 87736 117646 175472 235292 350944 470584 647053 941168 1294106 1882336 2588212 5176424 10352848 20705696