Search a number
-
+
1141416 = 233283191
BaseRepresentation
bin100010110101010101000
32010222201200
410112222220
5243011131
640244200
712462513
oct4265250
92128650
101141416
1170a621
12470660
1330c6c3
14219d7a
151782e6
hex116aa8

1141416 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 373920.

The previous prime is 1141391. The next prime is 1141417. The reversal of 1141416 is 6141411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (1141417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5881 + ... + 6071.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21141416 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 1141416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1141416 is an abundant number, since it is smaller than the sum of its proper divisors (2003544).

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

1141416 is a wasteful number, since it uses less digits than its factorization.

1141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1141416 is about 1068.3707221747. The cubic root of 1141416 is about 104.5076267108.

Adding to 1141416 its reverse (6141411), we get a palindrome (7282827).

The spelling of 1141416 in words is "one million, one hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 191 249 332 382 498 573 664 747 764 996 1146 1494 1528 1719 1992 2292 2988 3438 4584 5976 6876 13752 15853 31706 47559 63412 95118 126824 142677 190236 285354 380472 570708 1141416