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20795424 = 2531319877
BaseRepresentation
bin100111101010…
…1000000100000
31110010111221220
41033111000200
520310423144
62021415040
7341521026
oct117250040
943114856
1020795424
1110813a01
126b6a480
1344014b0
142a94716
151c5b919
hex13d5020

20795424 has 96 divisors (see below), whose sum is σ = 61951680. Its totient is φ = 6054912.

The previous prime is 20795399. The next prime is 20795429. The reversal of 20795424 is 42459702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20795429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23274 + ... + 24150.

It is an arithmetic number, because the mean of its divisors is an integer number (645330).

Almost surely, 220795424 is an apocalyptic number.

20795424 is a gapful number since it is divisible by the number (24) 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 20795424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30975840).

20795424 is an abundant number, since it is smaller than the sum of its proper divisors (41156256).

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

20795424 is a wasteful number, since it uses less digits than its factorization.

20795424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20795424 is about 4560.1999956142. The cubic root of 20795424 is about 274.9936042590.

It can be divided in two parts, 2079 and 5424, that added together give a triangular number (7503 = T122).

The spelling of 20795424 in words is "twenty million, seven hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 877 912 988 1248 1482 1754 1824 1976 2631 2964 3508 3952 5262 5928 7016 7904 10524 11401 11856 14032 16663 21048 22802 23712 28064 33326 34203 42096 45604 49989 66652 68406 84192 91208 99978 133304 136812 182416 199956 216619 266608 273624 364832 399912 433238 533216 547248 649857 799824 866476 1094496 1299714 1599648 1732952 2599428 3465904 5198856 6931808 10397712 20795424