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20013264 = 243346327
BaseRepresentation
bin100110001011…
…0000011010000
31101122210001000
41030112003100
520110411024
61552542000
7332052465
oct114260320
941583030
1020013264
111032a297
126851900
1341b948b
14292d66c
151b54cc9
hex13160d0

20013264 has 40 divisors (see below), whose sum is σ = 57446720. Its totient is φ = 6670944.

The previous prime is 20013247. The next prime is 20013269. The reversal of 20013264 is 46231002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013269) 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, 22732 + ... + 23595.

It is an arithmetic number, because the mean of its divisors is an integer number (1436168).

Almost surely, 220013264 is an apocalyptic number.

20013264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20013264 is an abundant number, since it is smaller than the sum of its proper divisors (37433456).

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

20013264 is a wasteful number, since it uses less digits than its factorization.

20013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46344 (or 46332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20013264 is about 4473.6186694889. The cubic root of 20013264 is about 271.5017551243.

Adding to 20013264 its reverse (46231002), we get a palindrome (66244266).

The spelling of 20013264 in words is "twenty million, thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 46327 92654 138981 185308 277962 370616 416943 555924 741232 833886 1111848 1250829 1667772 2223696 2501658 3335544 5003316 6671088 10006632 20013264