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20775768 = 23313173917
BaseRepresentation
bin100111101000…
…0001101011000
31110002111222220
41033100031120
520304311033
62021144040
7341406516
oct117201530
943074886
1020775768
1110800162
126b5b020
1343c5570
142a8b4b6
151c55bb3
hex13d0358

20775768 has 64 divisors (see below), whose sum is σ = 59240160. Its totient is φ = 6014976.

The previous prime is 20775767. The next prime is 20775779. The reversal of 20775768 is 86757702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20775761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3346 + ... + 7262.

Almost surely, 220775768 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 20775768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29620080).

20775768 is an abundant number, since it is smaller than the sum of its proper divisors (38464392).

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

20775768 is a wasteful number, since it uses less digits than its factorization.

20775768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 20775768 is about 4558.0443174677. The cubic root of 20775768 is about 274.9069348998.

The spelling of 20775768 in words is "twenty million, seven hundred seventy-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 3917 5304 7834 11751 15668 23502 31336 47004 50921 66589 94008 101842 133178 152763 199767 203684 266356 305526 399534 407368 532712 611052 799068 865657 1222104 1598136 1731314 2596971 3462628 5193942 6925256 10387884 20775768