Search a number
-
+
21441012 = 22317611723
BaseRepresentation
bin101000111001…
…0100111110100
31111100022112120
41101302213310
520442103022
62043315540
7350150145
oct121624764
944308476
1021441012
1111114a4a
12721bbb0
1345992b8
142bc1acc
151d37d5c
hex14729f4

21441012 has 48 divisors (see below), whose sum is σ = 53871552. Its totient is φ = 6612480.

The previous prime is 21441011. The next prime is 21441031. The reversal of 21441012 is 21014412.

It is a junction number, because it is equal to n+sod(n) for n = 21440982 and 21441000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21441011) 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 15 ways as a sum of consecutive naturals, for example, 11583 + ... + 13305.

It is an arithmetic number, because the mean of its divisors is an integer number (1122324).

Almost surely, 221441012 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 21441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935776).

21441012 is an abundant number, since it is smaller than the sum of its proper divisors (32430540).

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

21441012 is a wasteful number, since it uses less digits than its factorization.

21441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 21441012 is about 4630.4440391824. Note that the first 3 decimals coincide. The cubic root of 21441012 is about 277.8103532049.

Adding to 21441012 its reverse (21014412), we get a palindrome (42455424).

The spelling of 21441012 in words is "twenty-one million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 1723 2074 3111 3446 4148 5169 6222 6892 10338 12444 20676 29291 58582 87873 105103 117164 175746 210206 315309 351492 420412 630618 1261236 1786751 3573502 5360253 7147004 10720506 21441012