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20704992 = 2537112801
BaseRepresentation
bin100111011111…
…0111011100000
31102221220220120
41032332323200
520300024432
62015440240
7340663260
oct116767340
942856816
1020704992
1110761a70
126b26080
13439c299
142a6d7a0
151c3ec2c
hex13beee0

20704992 has 96 divisors (see below), whose sum is σ = 67785984. Its totient is φ = 5376000.

The previous prime is 20704987. The next prime is 20705017. The reversal of 20704992 is 29940702.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (706104).

Almost surely, 220704992 is an apocalyptic number.

20704992 is a gapful number since it is divisible by the number (22) 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 20704992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892992).

20704992 is an abundant number, since it is smaller than the sum of its proper divisors (47080992).

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

20704992 is a wasteful number, since it uses less digits than its factorization.

20704992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20704992 is about 4550.2738379135. The cubic root of 20704992 is about 274.5944081556.

The spelling of 20704992 in words is "twenty million, seven hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 2801 3696 5602 7392 8403 11204 16806 19607 22408 30811 33612 39214 44816 58821 61622 67224 78428 89632 92433 117642 123244 134448 156856 184866 215677 235284 246488 268896 313712 369732 431354 470568 492976 627424 647031 739464 862708 941136 985952 1294062 1478928 1725416 1882272 2588124 2957856 3450832 5176248 6901664 10352496 20704992