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20697728 = 271011601
BaseRepresentation
bin100111011110…
…1001010000000
31102221112221112
41032331022000
520244311403
62015342452
7340633142
oct116751200
942845845
1020697728
1110757567
126b21a28
134398b9c
142a6ac92
151c3c9d8
hex13bd280

20697728 has 32 divisors (see below), whose sum is σ = 41668020. Its totient is φ = 10240000.

The previous prime is 20697713. The next prime is 20697737. The reversal of 20697728 is 82779602.

It can be written as a sum of positive squares in 2 ways, for example, as 12902464 + 7795264 = 3592^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 12128 + ... + 13728.

Almost surely, 220697728 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 20697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834010).

20697728 is an abundant number, since it is smaller than the sum of its proper divisors (20970292).

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

20697728 is a wasteful number, since it uses less digits than its factorization.

20697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 20697728 is about 4549.4755741734. The cubic root of 20697728 is about 274.5622921150.

Multiplying 20697728 by its sum of digits (41), we get a palindrome (848606848).

The spelling of 20697728 in words is "twenty million, six hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1601 1616 3202 3232 6404 6464 12808 12928 25616 51232 102464 161701 204928 323402 646804 1293608 2587216 5174432 10348864 20697728