Search a number
-
+
21466896 = 24311109373
BaseRepresentation
bin101000111100…
…0111100010000
31111101122001020
41101320330100
520443420041
62044035440
7350315463
oct121707420
944348036
1021466896
1111132440
127232b80
1345a8009
142bcb2da
151d40866
hex1478f10

21466896 has 80 divisors (see below), whose sum is σ = 61216320. Its totient is φ = 6428160.

The previous prime is 21466883. The next prime is 21466897. The reversal of 21466896 is 69866412.

It is not an unprimeable number, because it can be changed into a prime (21466897) 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, 57366 + ... + 57738.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 221466896 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 21466896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608160).

21466896 is an abundant number, since it is smaller than the sum of its proper divisors (39749424).

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

21466896 is a wasteful number, since it uses less digits than its factorization.

21466896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 21466896 is about 4633.2381764809. The cubic root of 21466896 is about 277.9221009072.

The spelling of 21466896 in words is "twenty-one million, four hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 373 436 528 654 746 872 1119 1199 1308 1492 1744 2238 2398 2616 2984 3597 4103 4476 4796 5232 5968 7194 8206 8952 9592 12309 14388 16412 17904 19184 24618 28776 32824 40657 49236 57552 65648 81314 98472 121971 162628 196944 243942 325256 447227 487884 650512 894454 975768 1341681 1788908 1951536 2683362 3577816 5366724 7155632 10733448 21466896