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20566944 = 253271413
BaseRepresentation
bin100111001110…
…1001110100000
31102200220112200
41032131032200
520231120234
62012453200
7336546636
oct116351640
942626480
1020566944
1110678282
126a7a200
1343514b8
142a35356
151c13d99
hex139d3a0

20566944 has 36 divisors (see below), whose sum is σ = 58488066. Its totient is φ = 6855552.

The previous prime is 20566913. The next prime is 20566951. The reversal of 20566944 is 44966502.

20566944 is a `hidden beast` number, since 2 + 0 + 566 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17539344 + 3027600 = 4188^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20566899 and 20566908.

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, 35419 + ... + 35994.

Almost surely, 220566944 is an apocalyptic number.

20566944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20566944 is an abundant number, since it is smaller than the sum of its proper divisors (37921122).

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

20566944 is a wasteful number, since it uses less digits than its factorization.

20566944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71429 (or 71418 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20566944 is about 4535.0792716335. The cubic root of 20566944 is about 273.9827719290.

The spelling of 20566944 in words is "twenty million, five hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71413 142826 214239 285652 428478 571304 642717 856956 1142608 1285434 1713912 2285216 2570868 3427824 5141736 6855648 10283472 20566944