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20788872 = 23313232897
BaseRepresentation
bin100111101001…
…1011010001000
31110010011222020
41033103122020
520310220442
62021324440
7341462646
oct117233210
943104866
1020788872
1110809a95
126b66720
1343cb510
142a92196
151c599ec
hex13d3688

20788872 has 64 divisors (see below), whose sum is σ = 58423680. Its totient is φ = 6116352.

The previous prime is 20788847. The next prime is 20788877. The reversal of 20788872 is 27888702.

It is not an unprimeable number, because it can be changed into a prime (20788877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5728 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (912870).

Almost surely, 220788872 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 20788872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211840).

20788872 is an abundant number, since it is smaller than the sum of its proper divisors (37634808).

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

20788872 is a wasteful number, since it uses less digits than its factorization.

20788872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 20788872 is about 4559.4815494747. The cubic root of 20788872 is about 274.9647205431.

The spelling of 20788872 in words is "twenty million, seven hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 2897 3588 5794 7176 8691 11588 17382 23176 34764 37661 66631 69528 75322 112983 133262 150644 199893 225966 266524 301288 399786 451932 533048 799572 866203 903864 1599144 1732406 2598609 3464812 5197218 6929624 10394436 20788872