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21052064 = 251125437
BaseRepresentation
bin101000001001…
…1101010100000
31110121120000002
41100103222200
520342131224
62031115132
7343640165
oct120235240
943546002
1021052064
1110979800
127072aa8
134491257
142b2006c
151cac9ae
hex1413aa0

21052064 has 36 divisors (see below), whose sum is σ = 45565002. Its totient is φ = 9567360.

The previous prime is 21052063. The next prime is 21052079. The reversal of 21052064 is 46025012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17472400 + 3579664 = 4180^2 + 1892^2 .

It is not an unprimeable number, because it can be changed into a prime (21052063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1154 + ... + 6590.

Almost surely, 221052064 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 21052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22782501).

21052064 is an abundant number, since it is smaller than the sum of its proper divisors (24512938).

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

21052064 is a wasteful number, since it uses less digits than its factorization.

21052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 21052064 is about 4588.2528265125. The cubic root of 21052064 is about 276.1202304716.

Adding to 21052064 its reverse (46025012), we get a palindrome (67077076).

The spelling of 21052064 in words is "twenty-one million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5437 10874 21748 43496 59807 86992 119614 173984 239228 478456 657877 956912 1315754 1913824 2631508 5263016 10526032 21052064