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20004768 = 253279923
BaseRepresentation
bin100110001001…
…1111110100000
31101122100101100
41030103332200
520110123033
61552434400
7332015640
oct114237640
941570340
1020004768
1110323973
126848a00
1341b5654
14292a520
151b52513
hex1313fa0

20004768 has 72 divisors (see below), whose sum is σ = 65022048. Its totient is φ = 5715072.

The previous prime is 20004749. The next prime is 20004773. The reversal of 20004768 is 86740002.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (903084).

Almost surely, 220004768 is an apocalyptic number.

20004768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20004768 is an abundant number, since it is smaller than the sum of its proper divisors (45017280).

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

20004768 is a wasteful number, since it uses less digits than its factorization.

20004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20004768 is about 4472.6690018377. The cubic root of 20004768 is about 271.4633305176.

The spelling of 20004768 in words is "twenty million, four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 9923 19846 29769 39692 59538 69461 79384 89307 119076 138922 158768 178614 208383 238152 277844 317536 357228 416766 476304 555688 625149 714456 833532 952608 1111376 1250298 1428912 1667064 2222752 2500596 2857824 3334128 5001192 6668256 10002384 20004768