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21286680 = 2335179991
BaseRepresentation
bin101000100110…
…0111100011000
31111001110211120
41101030330120
520422133210
62040125240
7345635202
oct121147430
944043746
1021286680
1111019aa8
127166820
134543c8c
142b81772
151d07270
hex144cf18

21286680 has 64 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5639040.

The previous prime is 21286673. The next prime is 21286691. The reversal of 21286680 is 8668212.

It is a congruent number.

It is an unprimeable number.

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, 20985 + ... + 21975.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 221286680 is an apocalyptic number.

21286680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

21286680 is an abundant number, since it is smaller than the sum of its proper divisors (42994920).

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

21286680 is a wasteful number, since it uses less digits than its factorization.

21286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 21286680 is about 4613.7490178812. The cubic root of 21286680 is about 277.1421895940.

The spelling of 21286680 in words is "twenty-one million, two hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 991 1074 1432 1790 1982 2148 2685 2973 3580 3964 4296 4955 5370 5946 7160 7928 9910 10740 11892 14865 19820 21480 23784 29730 39640 59460 118920 177389 354778 532167 709556 886945 1064334 1419112 1773890 2128668 2660835 3547780 4257336 5321670 7095560 10643340 21286680