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20023296 = 21133259
BaseRepresentation
bin100110001100…
…0100000000000
31101200021210120
41030120200000
520111221141
61553100240
7332123646
oct114304000
941607716
1020023296
1110336887
126857680
1341c0c07
142933196
151b57c66
hex1318800

20023296 has 48 divisors (see below), whose sum is σ = 53398800. Its totient is φ = 6672384.

The previous prime is 20023291. The next prime is 20023307. The reversal of 20023296 is 69232002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20023291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4515 + ... + 7773.

It is an arithmetic number, because the mean of its divisors is an integer number (1112475).

Almost surely, 220023296 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 20023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699400).

20023296 is an abundant number, since it is smaller than the sum of its proper divisors (33375504).

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

20023296 is an equidigital number, since it uses as much as digits as its factorization.

20023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20023296 is about 4474.7397689698. The cubic root of 20023296 is about 271.5471125538.

Adding to 20023296 its reverse (69232002), we get a palindrome (89255298).

The spelling of 20023296 in words is "twenty million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3259 6144 6518 9777 13036 19554 26072 39108 52144 78216 104288 156432 208576 312864 417152 625728 834304 1251456 1668608 2502912 3337216 5005824 6674432 10011648 20023296