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20743008 = 25311131511
BaseRepresentation
bin100111100100…
…0001101100000
31110000212001120
41033020031200
520302234013
62020332240
7341212146
oct117101540
943025046
1020743008
1110788590
126b44080
1343b3690
142a7d596
151c4b123
hex13c8360

20743008 has 96 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 5798400.

The previous prime is 20742983. The next prime is 20743013. The reversal of 20743008 is 80034702.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12973 + ... + 14483.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 220743008 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 20743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

20743008 is an abundant number, since it is smaller than the sum of its proper divisors (43269024).

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

20743008 is a wasteful number, since it uses less digits than its factorization.

20743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20743008 is about 4554.4492532029. The cubic root of 20743008 is about 274.7623644082.

The spelling of 20743008 in words is "twenty million, seven hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1511 1716 2288 3022 3432 4533 4576 6044 6864 9066 12088 13728 16621 18132 19643 24176 33242 36264 39286 48352 49863 58929 66484 72528 78572 99726 117858 132968 145056 157144 199452 216073 235716 265936 314288 398904 432146 471432 531872 628576 648219 797808 864292 942864 1296438 1595616 1728584 1885728 2592876 3457168 5185752 6914336 10371504 20743008