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20023360 = 265721277
BaseRepresentation
bin100110001100…
…0100001000000
31101200021212221
41030120201000
520111221420
61553100424
7332124100
oct114304100
941607787
1020023360
1110336935
126857714
1341c0c56
142933200
151b57caa
hex1318840

20023360 has 84 divisors (see below), whose sum is σ = 55508652. Its totient is φ = 6859776.

The previous prime is 20023343. The next prime is 20023379. The reversal of 20023360 is 6332002.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 9834496 = 3192^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15042 + ... + 16318.

Almost surely, 220023360 is an apocalyptic number.

20023360 is a gapful number since it is divisible by the number (20) 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 20023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27754326).

20023360 is an abundant number, since it is smaller than the sum of its proper divisors (35485292).

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

20023360 is a wasteful number, since it uses less digits than its factorization.

20023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 20023360 is about 4474.7469202179. The cubic root of 20023360 is about 271.5474018668.

Adding to 20023360 its reverse (6332002), we get a palindrome (26355362).

The spelling of 20023360 in words is "twenty million, twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1277 1568 1960 2240 2554 3136 3920 5108 6385 7840 8939 10216 12770 15680 17878 20432 25540 35756 40864 44695 51080 62573 71512 81728 89390 102160 125146 143024 178780 204320 250292 286048 312865 357560 408640 500584 572096 625730 715120 1001168 1251460 1430240 2002336 2502920 2860480 4004672 5005840 10011680 20023360