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20407392 = 2532591201
BaseRepresentation
bin100110111011…
…0010001100000
31102101210200100
41031312101200
520211014032
62005222400
7335313525
oct115662140
942353610
1020407392
1110579415
126a01a00
1342c69a5
1429d314c
151bd197c
hex1376460

20407392 has 72 divisors (see below), whose sum is σ = 59066280. Its totient is φ = 6681600.

The previous prime is 20407391. The next prime is 20407397. The reversal of 20407392 is 29370402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20407391) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16392 + ... + 17592.

It is an arithmetic number, because the mean of its divisors is an integer number (820365).

Almost surely, 220407392 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 20407392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29533140).

20407392 is an abundant number, since it is smaller than the sum of its proper divisors (38658888).

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

20407392 is a wasteful number, since it uses less digits than its factorization.

20407392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20407392 is about 4517.4541502931. The cubic root of 20407392 is about 273.2724406624.

Adding to 20407392 its reverse (29370402), we get a palindrome (49777794).

The spelling of 20407392 in words is "twenty million, four hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1201 1416 1888 2124 2402 2832 3603 4248 4804 5664 7206 8496 9608 10809 14412 16992 19216 21618 28824 38432 43236 57648 70859 86472 115296 141718 172944 212577 283436 345888 425154 566872 637731 850308 1133744 1275462 1700616 2267488 2550924 3401232 5101848 6802464 10203696 20407392