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20799840 = 2535172549
BaseRepresentation
bin100111101011…
…0000101100000
31110010202000110
41033112011200
520311043330
62021451320
7341536635
oct117260540
943122013
1020799840
1110817256
126b70b40
1344034c9
142a9618c
151c5cdb0
hex13d6160

20799840 has 96 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 5218304.

The previous prime is 20799829. The next prime is 20799847. The reversal of 20799840 is 4899702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20799847) 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 15 ways as a sum of consecutive naturals, for example, 6886 + ... + 9434.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 220799840 is an apocalyptic number.

20799840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

20799840 is an abundant number, since it is smaller than the sum of its proper divisors (48600960).

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

20799840 is a wasteful number, since it uses less digits than its factorization.

20799840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 20799840 is about 4560.6841592024. The cubic root of 20799840 is about 275.0130682495.

The spelling of 20799840 in words is "twenty million, seven hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2549 2720 4080 5098 7647 8160 10196 12745 15294 20392 25490 30588 38235 40784 43333 50980 61176 76470 81568 86666 101960 122352 129999 152940 173332 203920 216665 244704 259998 305880 346664 407840 433330 519996 611760 649995 693328 866660 1039992 1223520 1299990 1386656 1733320 2079984 2599980 3466640 4159968 5199960 6933280 10399920 20799840