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20794944 = 2631723277
BaseRepresentation
bin100111101010…
…0111001000000
31110010111022010
41033110321000
520310414234
62021412520
7341516442
oct117247100
943114263
1020794944
1110813605
126b6a140
134401201
142a94492
151c5b6e9
hex13d4e40

20794944 has 112 divisors (see below), whose sum is σ = 61008768. Its totient is φ = 6217728.

The previous prime is 20794937. The next prime is 20794951. The reversal of 20794944 is 44949702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20794937) and next prime (20794951).

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, 74934 + ... + 75210.

Almost surely, 220794944 is an apocalyptic number.

20794944 is a gapful number since it is divisible by the number (24) 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 20794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504384).

20794944 is an abundant number, since it is smaller than the sum of its proper divisors (40213824).

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

20794944 is a wasteful number, since it uses less digits than its factorization.

20794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 20794944 is about 4560.1473660398. The cubic root of 20794944 is about 274.9914884418.

The spelling of 20794944 in words is "twenty million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 277 368 391 408 544 552 554 736 782 816 831 1088 1104 1108 1173 1472 1564 1632 1662 2208 2216 2346 3128 3264 3324 4416 4432 4692 4709 6256 6371 6648 8864 9384 9418 12512 12742 13296 14127 17728 18768 18836 19113 25024 25484 26592 28254 37536 37672 38226 50968 53184 56508 75072 75344 76452 101936 108307 113016 150688 152904 203872 216614 226032 301376 305808 324921 407744 433228 452064 611616 649842 866456 904128 1223232 1299684 1732912 2599368 3465824 5198736 6931648 10397472 20794944