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20797056 = 273272579
BaseRepresentation
bin100111101010…
…1011010000000
31110010121012100
41033111122000
520311001211
62021430400
7341525550
oct117253200
943117170
1020797056
1110815155
126b6b400
134402167
142a95160
151c5c156
hex13d5680

20797056 has 96 divisors (see below), whose sum is σ = 68421600. Its totient is φ = 5939712.

The previous prime is 20797033. The next prime is 20797057. The reversal of 20797056 is 65079702.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20797056.

It is not an unprimeable number, because it can be changed into a prime (20797057) 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 11 ways as a sum of consecutive naturals, for example, 6775 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (712725).

Almost surely, 220797056 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 20797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34210800).

20797056 is an abundant number, since it is smaller than the sum of its proper divisors (47624544).

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

20797056 is a wasteful number, since it uses less digits than its factorization.

20797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 20797056 is about 4560.3789316240. The cubic root of 20797056 is about 275.0007977938. Note that the first 3 decimals are identical.

The spelling of 20797056 in words is "twenty million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2579 2688 4032 5158 7737 8064 10316 15474 18053 20632 23211 30948 36106 41264 46422 54159 61896 72212 82528 92844 108318 123792 144424 162477 165056 185688 216636 247584 288848 324954 330112 371376 433272 495168 577696 649908 742752 866544 990336 1155392 1299816 1485504 1733088 2310784 2599632 2971008 3466176 5199264 6932352 10398528 20797056