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20461312 = 28257311
BaseRepresentation
bin100111000001…
…1011100000000
31102111112122101
41032003130000
520214230222
62010320144
7335626654
oct116033400
942445571
1020461312
1110605983
126a29054
1343153b1
142a08a64
151be2927
hex1383700

20461312 has 36 divisors (see below), whose sum is σ = 41133456. Its totient is φ = 10158080.

The previous prime is 20461307. The next prime is 20461321. The reversal of 20461312 is 21316402.

It is a super-2 number, since 2×204613122 = 837330577522688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20461312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65637 + ... + 65947.

It is an arithmetic number, because the mean of its divisors is an integer number (1142596).

Almost surely, 220461312 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 20461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566728).

20461312 is an abundant number, since it is smaller than the sum of its proper divisors (20672144).

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

20461312 is an equidigital number, since it uses as much as digits as its factorization.

20461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20461312 is about 4523.4181765563. The cubic root of 20461312 is about 273.5129073136.

Adding to 20461312 its reverse (21316402), we get a palindrome (41777714).

It can be divided in two parts, 204 and 61312, that added together give a palindrome (61516).

The spelling of 20461312 in words is "twenty million, four hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 257 311 514 622 1028 1244 2056 2488 4112 4976 8224 9952 16448 19904 32896 39808 65792 79616 79927 159854 319708 639416 1278832 2557664 5115328 10230656 20461312