Search a number
-
+
21841416 = 2332614973
BaseRepresentation
bin101001101010…
…0011000001000
31112002122210100
41103110120020
521042411131
62100045400
7353435412
oct123243010
945078710
1021841416
1111368863
127393860
1346a961c
142c879b2
151db67e6
hex14d4608

21841416 has 48 divisors (see below), whose sum is σ = 60135660. Its totient is φ = 7159680.

The previous prime is 21841409. The next prime is 21841427. The reversal of 21841416 is 61414812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 1102500 = 4554^2 + 1050^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21841416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906 + ... + 6878.

Almost surely, 221841416 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 21841416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30067830).

21841416 is an abundant number, since it is smaller than the sum of its proper divisors (38294244).

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

21841416 is a wasteful number, since it uses less digits than its factorization.

21841416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5039 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21841416 is about 4673.4800737780. The cubic root of 21841416 is about 279.5290382154.

It can be divided in two parts, 2184 and 1416, that added together give a square (3600 = 602).

The spelling of 21841416 in words is "twenty-one million, eight hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 4973 9946 14919 19892 29838 39784 44757 59676 89514 119352 179028 303353 358056 606706 910059 1213412 1820118 2426824 2730177 3640236 5460354 7280472 10920708 21841416