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20465744 = 2413611613
BaseRepresentation
bin100111000010…
…0100001010000
31102111202201112
41032010201100
520214400434
62010352452
7335645615
oct116044120
942452645
1020465744
1110609242
126a2b728
134317410
142a0a50c
151be3dce
hex1384850

20465744 has 40 divisors (see below), whose sum is σ = 43429512. Its totient is φ = 9285120.

The previous prime is 20465729. The next prime is 20465749. The reversal of 20465744 is 44756402.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 20430400 = 188^2 + 4520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20465744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20465749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11882 + ... + 13494.

Almost surely, 220465744 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 20465744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714756).

20465744 is an abundant number, since it is smaller than the sum of its proper divisors (22963768).

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

20465744 is a wasteful number, since it uses less digits than its factorization.

20465744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 20465744 is about 4523.9080450425. The cubic root of 20465744 is about 273.5326538755.

The spelling of 20465744 in words is "twenty million, four hundred sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 1613 3172 3226 6344 6452 12688 12904 20969 25808 41938 83876 98393 167752 196786 335504 393572 787144 1279109 1574288 2558218 5116436 10232872 20465744