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20794752 = 273311547
BaseRepresentation
bin100111101010…
…0110110000000
31110010111001000
41033110312000
520310413002
62021412000
7341516046
oct117246600
943114030
1020794752
1110813450
126b6a000
1344010b4
142a94396
151c5b61c
hex13d4d80

20794752 has 128 divisors (see below), whose sum is σ = 67075200. Its totient is φ = 6289920.

The previous prime is 20794747. The next prime is 20794771. The reversal of 20794752 is 25749702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 37743 + ... + 38289.

It is an arithmetic number, because the mean of its divisors is an integer number (524025).

Almost surely, 220794752 is an apocalyptic number.

20794752 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 20794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33537600).

20794752 is an abundant number, since it is smaller than the sum of its proper divisors (46280448).

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

20794752 is a wasteful number, since it uses less digits than its factorization.

20794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20794752 is about 4560.1263140400. The cubic root of 20794752 is about 274.9906421058.

The spelling of 20794752 in words is "twenty million, seven hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 547 576 594 704 792 864 1056 1094 1152 1188 1408 1584 1641 1728 2112 2188 2376 3168 3282 3456 4224 4376 4752 4923 6017 6336 6564 8752 9504 9846 12034 12672 13128 14769 17504 18051 19008 19692 24068 26256 29538 35008 36102 38016 39384 48136 52512 54153 59076 70016 72204 78768 96272 105024 108306 118152 144408 157536 162459 192544 210048 216612 236304 288816 315072 324918 385088 433224 472608 577632 630144 649836 770176 866448 945216 1155264 1299672 1732896 1890432 2310528 2599344 3465792 5198688 6931584 10397376 20794752