Search a number
-
+
21449142 = 23211132641
BaseRepresentation
bin101000111010…
…0100110110110
31111100201200200
41101310212312
520442333032
62043421330
7350212641
oct121644666
944321620
1021449142
1111120070
127224846
13459cc00
142bc4a58
151d3a47c
hex14749b6

21449142 has 72 divisors (see below), whose sum is σ = 54983448. Its totient is φ = 5990400.

The previous prime is 21449137. The next prime is 21449143. The reversal of 21449142 is 24194412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21449143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33142 + ... + 33782.

It is an arithmetic number, because the mean of its divisors is an integer number (763659).

Almost surely, 221449142 is an apocalyptic number.

21449142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21449142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27491724).

21449142 is an abundant number, since it is smaller than the sum of its proper divisors (33534306).

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

21449142 is a wasteful number, since it uses less digits than its factorization.

21449142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21449142 is about 4631.3218415480. The cubic root of 21449142 is about 277.8454621316.

The spelling of 21449142 in words is "twenty-one million, four hundred forty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 641 858 1014 1282 1287 1521 1859 1923 2574 3042 3718 3846 5577 5769 7051 8333 11154 11538 14102 16666 16731 21153 24999 33462 42306 49998 63459 74997 91663 108329 126918 149994 183326 216658 274989 324987 549978 649974 824967 974961 1191619 1649934 1949922 2383238 3574857 7149714 10724571 21449142