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21666414 = 23711232039
BaseRepresentation
bin101001010100…
…1101001101110
31111202202201210
41102221221232
521021311124
62052215250
7352106250
oct122515156
944682653
1021666414
1111259330
12730a526
134647a83
142c3dcd0
151d7ea29
hex14a9a6e

21666414 has 64 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 5380320.

The previous prime is 21666397. The next prime is 21666443. The reversal of 21666414 is 41466612.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9607 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 221666414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21666414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

21666414 is an abundant number, since it is smaller than the sum of its proper divisors (34735506).

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

21666414 is a wasteful number, since it uses less digits than its factorization.

21666414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085.

The product of its digits is 6912, while the sum is 30.

The square root of 21666414 is about 4654.7195404235. The cubic root of 21666414 is about 278.7804699008.

It can be divided in two parts, 21 and 666414, that added together give a triangular number (666435 = T1154).

The spelling of 21666414 in words is "twenty-one million, six hundred sixty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 2039 3542 4078 5313 6117 10626 12234 14273 22429 28546 42819 44858 46897 67287 85638 93794 134574 140691 157003 281382 314006 328279 471009 515867 656558 942018 984837 1031734 1547601 1969674 3095202 3611069 7222138 10833207 21666414