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21676460 = 22513263317
BaseRepresentation
bin101001010110…
…0000110101100
31111210021111212
41102230012230
521022121320
62052333552
7352150451
oct122540654
944707455
1021676460
1111265933
1273142b8
13464c510
142c43828
151d829c5
hex14ac1ac

21676460 has 48 divisors (see below), whose sum is σ = 49363776. Its totient is φ = 7948032.

The previous prime is 21676387. The next prime is 21676469. The reversal of 21676460 is 6467612.

It is not an unprimeable number, because it can be changed into a prime (21676469) 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, 68222 + ... + 68538.

It is an arithmetic number, because the mean of its divisors is an integer number (1028412).

Almost surely, 221676460 is an apocalyptic number.

21676460 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 21676460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24681888).

21676460 is an abundant number, since it is smaller than the sum of its proper divisors (27687316).

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

21676460 is a wasteful number, since it uses less digits than its factorization.

21676460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 21676460 is about 4655.7985351602. The cubic root of 21676460 is about 278.8235503395.

The spelling of 21676460 in words is "twenty-one million, six hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 317 526 634 1052 1268 1315 1585 2630 3170 3419 4121 5260 6340 6838 8242 13676 16484 17095 20605 34190 41210 68380 82420 83371 166742 333484 416855 833710 1083823 1667420 2167646 4335292 5419115 10838230 21676460