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21005334 = 2327473547
BaseRepresentation
bin101000000100…
…0010000010110
31110112011220100
41100020100112
520334132314
62030114530
7343354020
oct120102026
943464810
1021005334
1110947689
12704ba46
134475bbc
142b0b010
151c9dc09
hex1408416

21005334 has 48 divisors (see below), whose sum is σ = 53134848. Its totient is φ = 5872176.

The previous prime is 21005329. The next prime is 21005339. The reversal of 21005334 is 43350012.

It is an interprime number because it is at equal distance from previous prime (21005329) and next prime (21005339).

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 (21005339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4149 + ... + 7695.

It is an arithmetic number, because the mean of its divisors is an integer number (1106976).

Almost surely, 221005334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21005334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26567424).

21005334 is an abundant number, since it is smaller than the sum of its proper divisors (32129514).

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

21005334 is a wasteful number, since it uses less digits than its factorization.

21005334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 21005334 is about 4583.1576451176. The cubic root of 21005334 is about 275.9157745520.

Adding to 21005334 its reverse (43350012), we get a palindrome (64355346).

The spelling of 21005334 in words is "twenty-one million, five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 3547 5922 7094 10641 21282 24829 31923 49658 63846 74487 148974 166709 223461 333418 446922 500127 1000254 1166963 1500381 2333926 3000762 3500889 7001778 10502667 21005334