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20759872 = 267149311
BaseRepresentation
bin100111100110…
…0010101000000
31110001201012011
41033030111000
520303303442
62020542304
7341312260
oct117142500
943051164
1020759872
111079a221
126b51994
1343bb263
142a857a0
151c51117
hex13cc540

20759872 has 56 divisors (see below), whose sum is σ = 47548800. Its totient is φ = 8808960.

The previous prime is 20759867. The next prime is 20759881. The reversal of 20759872 is 27895702.

It is a tau number, because it is divible by the number of its divisors (56).

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, 66597 + ... + 66907.

Almost surely, 220759872 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 20759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).

20759872 is an abundant number, since it is smaller than the sum of its proper divisors (26788928).

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

20759872 is a wasteful number, since it uses less digits than its factorization.

20759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 20759872 is about 4556.3002534952. The cubic root of 20759872 is about 274.8368045502.

The spelling of 20759872 in words is "twenty million, seven hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 311 448 596 622 1043 1192 1244 2086 2177 2384 2488 4172 4354 4768 4976 8344 8708 9536 9952 16688 17416 19904 33376 34832 46339 66752 69664 92678 139328 185356 324373 370712 648746 741424 1297492 1482848 2594984 2965696 5189968 10379936 20759872