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20776896 = 263275153
BaseRepresentation
bin100111101000…
…0011111000000
31110002120112200
41033100133000
520304330041
62021153200
7341413020
oct117203700
943076480
1020776896
1110800a98
126b5b800
1343c5c2a
142a8ba80
151c561b6
hex13d07c0

20776896 has 84 divisors (see below), whose sum is σ = 68074032. Its totient is φ = 5935104.

The previous prime is 20776849. The next prime is 20776897. The reversal of 20776896 is 69867702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20776897) 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, 1456 + ... + 6608.

Almost surely, 220776896 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 20776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037016).

20776896 is an abundant number, since it is smaller than the sum of its proper divisors (47297136).

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

20776896 is a wasteful number, since it uses less digits than its factorization.

20776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 20776896 is about 4558.1680530669. The cubic root of 20776896 is about 274.9119100774.

The spelling of 20776896 in words is "twenty million, seven hundred seventy-six thousand, eight hundred ninety-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 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5153 10306 15459 20612 30918 36071 41224 46377 61836 72142 82448 92754 108213 123672 144284 164896 185508 216426 247344 288568 324639 329792 371016 432852 494688 577136 649278 742032 865704 989376 1154272 1298556 1484064 1731408 2308544 2597112 2968128 3462816 5194224 6925632 10388448 20776896