Search a number
-
+
21674208 = 253317283
BaseRepresentation
bin101001010101…
…1100011100000
31111210011102110
41102223203200
521022033313
62052315320
7352141053
oct122534340
944704373
1021674208
1111264176
127312b40
13464b49a
142c42a9a
151d81ec3
hex14ab8e0

21674208 has 48 divisors (see below), whose sum is σ = 58738176. Its totient is φ = 6990720.

The previous prime is 21674197. The next prime is 21674209. The reversal of 21674208 is 80247612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21674209) 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 7 ways as a sum of consecutive naturals, for example, 666 + ... + 6617.

It is an arithmetic number, because the mean of its divisors is an integer number (1223712).

Almost surely, 221674208 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 21674208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29369088).

21674208 is an abundant number, since it is smaller than the sum of its proper divisors (37063968).

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

21674208 is a wasteful number, since it uses less digits than its factorization.

21674208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21674208 is about 4655.5566799256. The cubic root of 21674208 is about 278.8138942059.

The spelling of 21674208 in words is "twenty-one million, six hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 7283 14566 21849 29132 43698 58264 87396 116528 174792 225773 233056 349584 451546 677319 699168 903092 1354638 1806184 2709276 3612368 5418552 7224736 10837104 21674208