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20613264 = 2437311979
BaseRepresentation
bin100111010100…
…0100010010000
31102210021002020
41032220202100
520234111024
62013451440
7340131660
oct116504220
942707066
1020613264
11106aa061
126aa0b80
1343695c9
142a481a0
151c22979
hex13a8890

20613264 has 80 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 5696640.

The previous prime is 20613253. The next prime is 20613269. The reversal of 20613264 is 46231602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20613269) 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, 9427 + ... + 11405.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 220613264 is an apocalyptic number.

20613264 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 20613264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

20613264 is an abundant number, since it is smaller than the sum of its proper divisors (42239856).

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

20613264 is a wasteful number, since it uses less digits than its factorization.

20613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20613264 is about 4540.1832562133. The cubic root of 20613264 is about 274.1883018416.

Adding to 20613264 its reverse (46231602), we get a palindrome (66844866).

The spelling of 20613264 in words is "twenty million, six hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 1979 2604 3472 3958 5208 5937 7916 10416 11874 13853 15832 23748 27706 31664 41559 47496 55412 61349 83118 94992 110824 122698 166236 184047 221648 245396 332472 368094 429443 490792 664944 736188 858886 981584 1288329 1472376 1717772 2576658 2944752 3435544 5153316 6871088 10306632 20613264