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20724366 = 23133743167
BaseRepresentation
bin100111100001…
…1101010001110
31102222220111010
41033003222032
520301134431
62020110050
7341103615
oct117035216
942886433
1020724366
1110775583
126b35326
1343a8050
142a7687c
151c45846
hex13c3a8e

20724366 has 64 divisors (see below), whose sum is σ = 47190528. Its totient is φ = 6023808.

The previous prime is 20724359. The next prime is 20724367. The reversal of 20724366 is 66342702.

It is a super-2 number, since 2×207243662 = 858998692203912, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20724367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124015 + ... + 124181.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 220724366 is an apocalyptic number.

20724366 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20724366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595264).

20724366 is an abundant number, since it is smaller than the sum of its proper divisors (26466162).

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

20724366 is a wasteful number, since it uses less digits than its factorization.

20724366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 20724366 is about 4552.4022230027. The cubic root of 20724366 is about 274.6800289501.

The spelling of 20724366 in words is "twenty million, seven hundred twenty-four thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 26 37 39 43 74 78 86 111 129 167 222 258 334 481 501 559 962 1002 1118 1443 1591 1677 2171 2886 3182 3354 4342 4773 6179 6513 7181 9546 12358 13026 14362 18537 20683 21543 37074 41366 43086 62049 80327 93353 124098 160654 186706 240981 265697 280059 481962 531394 560118 797091 1594182 3454061 6908122 10362183 20724366