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21440916 = 2233779359
BaseRepresentation
bin101000111001…
…0100110010100
31111100022102000
41101302212110
520442102131
62043315300
7350146650
oct121624624
944308360
1021440916
1111114972
12721bb30
134599243
142bc1a60
151d37ce6
hex1472994

21440916 has 96 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 6031584.

The previous prime is 21440891. The next prime is 21440917. The reversal of 21440916 is 61904412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21440916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21440917) 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 31 ways as a sum of consecutive naturals, for example, 59545 + ... + 59903.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 221440916 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 21440916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

21440916 is an abundant number, since it is smaller than the sum of its proper divisors (43071084).

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

21440916 is a wasteful number, since it uses less digits than its factorization.

21440916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21440916 is about 4630.4336729944. The cubic root of 21440916 is about 277.8099385815.

The spelling of 21440916 in words is "twenty-one million, four hundred forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 359 378 474 553 711 718 756 948 1077 1106 1422 1436 1659 2133 2154 2212 2513 2844 3231 3318 4266 4308 4977 5026 6462 6636 7539 8532 9693 9954 10052 12924 14931 15078 19386 19908 22617 28361 29862 30156 38772 45234 56722 59724 67851 85083 90468 113444 135702 170166 198527 255249 271404 340332 397054 510498 595581 765747 794108 1020996 1191162 1531494 1786743 2382324 3062988 3573486 5360229 7146972 10720458 21440916