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21064122 = 23217193623
BaseRepresentation
bin101000001011…
…0100110111010
31110122011112200
41100112212322
520343022442
62031251030
7344020302
oct120264672
943564480
1021064122
1110987872
127079a76
1344968a1
142b24602
151cb134c
hex14169ba

21064122 has 48 divisors (see below), whose sum is σ = 50880960. Its totient is φ = 6258816.

The previous prime is 21064117. The next prime is 21064133. The reversal of 21064122 is 22146012.

21064122 is a `hidden beast` number, since 2 + 1 + 0 + 641 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21064095 and 21064104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (1060020).

Almost surely, 221064122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21064122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25440480).

21064122 is an abundant number, since it is smaller than the sum of its proper divisors (29816838).

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

21064122 is a wasteful number, since it uses less digits than its factorization.

21064122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21064122 is about 4589.5666462096. The cubic root of 21064122 is about 276.1729382452.

The spelling of 21064122 in words is "twenty-one million, sixty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 3623 5814 7246 10869 21738 32607 61591 65214 68837 123182 137674 184773 206511 369546 413022 554319 619533 1108638 1170229 1239066 2340458 3510687 7021374 10532061 21064122