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20790336 = 263731499
BaseRepresentation
bin100111101001…
…1110001000000
31110010020222110
41033103301000
520310242321
62021335320
7341500140
oct117236100
943106873
1020790336
11108100a6
126b67540
1343cc098
142a92920
151c5a176
hex13d3c40

20790336 has 112 divisors (see below), whose sum is σ = 65024000. Its totient is φ = 5736960.

The previous prime is 20790323. The next prime is 20790349. The reversal of 20790336 is 63309702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20790323) and next prime (20790349).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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, 41415 + ... + 41913.

Almost surely, 220790336 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 20790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32512000).

20790336 is an abundant number, since it is smaller than the sum of its proper divisors (44233664).

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

20790336 is a wasteful number, since it uses less digits than its factorization.

20790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 20790336 is about 4559.6420912172. The cubic root of 20790336 is about 274.9711749401.

The spelling of 20790336 in words is "twenty million, seven hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 499 651 672 744 868 992 998 1302 1344 1488 1497 1736 1984 1996 2604 2976 2994 3472 3493 3992 5208 5952 5988 6944 6986 7984 10416 10479 11976 13888 13972 15469 15968 20832 20958 23952 27944 30938 31936 41664 41916 46407 47904 55888 61876 83832 92814 95808 108283 111776 123752 167664 185628 216566 223552 247504 324849 335328 371256 433132 495008 649698 670656 742512 866264 990016 1299396 1485024 1732528 2598792 2970048 3465056 5197584 6930112 10395168 20790336