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21018096 = 2433114423
BaseRepresentation
bin101000000101…
…1010111110000
31110112211102000
41100023113300
520340034341
62030254000
7343436151
oct120132760
943484360
1021018096
1110956230
127057300
13447b958
142b11928
151ca28b6
hex140b5f0

21018096 has 80 divisors (see below), whose sum is σ = 65829120. Its totient is φ = 6367680.

The previous prime is 21018091. The next prime is 21018097. The reversal of 21018096 is 69081012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (822864).

Almost surely, 221018096 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 21018096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914560).

21018096 is an abundant number, since it is smaller than the sum of its proper divisors (44811024).

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

21018096 is a wasteful number, since it uses less digits than its factorization.

21018096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21018096 is about 4584.5497052600. The cubic root of 21018096 is about 275.9716416988.

It can be divided in two parts, 210180 and 96, that added together give a triangular number (210276 = T648).

The spelling of 21018096 in words is "twenty-one million, eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4423 4752 8846 13269 17692 26538 35384 39807 48653 53076 70768 79614 97306 106152 119421 145959 159228 194612 212304 238842 291918 318456 389224 437877 477684 583836 636912 778448 875754 955368 1167672 1313631 1751508 1910736 2335344 2627262 3503016 5254524 7006032 10509048 21018096