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20023760 = 2452291093
BaseRepresentation
bin100110001100…
…0100111010000
31101200022102202
41030120213100
520111230020
61553102332
7332125211
oct114304720
941608382
1020023760
1110337169
1268579a8
1341c11a3
142933408
151b57e75
hex13189d0

20023760 has 40 divisors (see below), whose sum is σ = 46801320. Its totient is φ = 7967232.

The previous prime is 20023753. The next prime is 20023763. The reversal of 20023760 is 6732002.

It can be written as a sum of positive squares in 4 ways, for example, as 12559936 + 7463824 = 3544^2 + 2732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023763) 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, 17774 + ... + 18866.

It is an arithmetic number, because the mean of its divisors is an integer number (1170033).

Almost surely, 220023760 is an apocalyptic number.

20023760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20023760 is an abundant number, since it is smaller than the sum of its proper divisors (26777560).

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

20023760 is a wasteful number, since it uses less digits than its factorization.

20023760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 20023760 is about 4474.7916152599. The cubic root of 20023760 is about 271.5492100588.

Adding to 20023760 its reverse (6732002), we get a palindrome (26755762).

The spelling of 20023760 in words is "twenty million, twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1093 1145 1832 2186 2290 3664 4372 4580 5465 8744 9160 10930 17488 18320 21860 43720 87440 250297 500594 1001188 1251485 2002376 2502970 4004752 5005940 10011880 20023760