Search a number
-
+
21693868 = 2272151733
BaseRepresentation
bin101001011000…
…0010110101100
31111211011101121
41102300112230
521023200433
62052550324
7352252300
oct122602654
944734347
1021693868
1111277a19
1273223a4
134657411
142c49d00
151d87c2d
hex14b05ac

21693868 has 36 divisors (see below), whose sum is σ = 44515632. Its totient is φ = 9223200.

The previous prime is 21693851. The next prime is 21693883. The reversal of 21693868 is 86839612.

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 11 ways as a sum of consecutive naturals, for example, 29230 + ... + 29962.

Almost surely, 221693868 is an apocalyptic number.

21693868 is a gapful number since it is divisible by the number (28) 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 21693868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257816).

21693868 is an abundant number, since it is smaller than the sum of its proper divisors (22821764).

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

21693868 is a wasteful number, since it uses less digits than its factorization.

21693868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 893 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 21693868 is about 4657.6676566711. The cubic root of 21693868 is about 278.8981698672.

It can be divided in two parts, 21 and 693868, that added together give a square (693889 = 8332).

The spelling of 21693868 in words is "twenty-one million, six hundred ninety-three thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 733 1057 1466 2114 2932 4228 5131 7399 10262 14798 20524 29596 35917 71834 110683 143668 221366 442732 774781 1549562 3099124 5423467 10846934 21693868