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20775648 = 253375849
BaseRepresentation
bin100111101000…
…0001011100000
31110002111211110
41033100023200
520304310043
62021143320
7341406255
oct117201340
943074743
1020775648
1110800063
126b5ab40
1343c54aa
142a8b42c
151c55b33
hex13d02e0

20775648 has 48 divisors (see below), whose sum is σ = 56019600. Its totient is φ = 6736896.

The previous prime is 20775631. The next prime is 20775661. The reversal of 20775648 is 84657702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 220775648 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 20775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

20775648 is an abundant number, since it is smaller than the sum of its proper divisors (35243952).

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

20775648 is a wasteful number, since it uses less digits than its factorization.

20775648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 20775648 is about 4558.0311539085. The cubic root of 20775648 is about 274.9064056150.

It can be divided in two parts, 207 and 75648, that added together give a triangular number (75855 = T389).

The spelling of 20775648 in words is "twenty million, seven hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5849 11698 17547 23396 35094 46792 70188 93584 140376 187168 216413 280752 432826 561504 649239 865652 1298478 1731304 2596956 3462608 5193912 6925216 10387824 20775648