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1143216 = 243217467
BaseRepresentation
bin100010111000110110000
32011002012100
410113012300
5243040331
640300400
712500664
oct4270660
92132170
101143216
11710a08
12471700
13310479
1421a8a4
15178ae6
hex1171b0

1143216 has 60 divisors (see below), whose sum is σ = 3394872. Its totient is φ = 357888.

The previous prime is 1143193. The next prime is 1143217. The reversal of 1143216 is 6123411.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1143217) 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, 2215 + ... + 2681.

21143216 is an apocalyptic number.

1143216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697436).

1143216 is an abundant number, since it is smaller than the sum of its proper divisors (2251656).

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

1143216 is a wasteful number, since it uses less digits than its factorization.

1143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1143216 is about 1069.2127945362. The cubic root of 1143216 is about 104.5625336364.

Adding to 1143216 its reverse (6123411), we get a palindrome (7266627).

The spelling of 1143216 in words is "one million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 467 612 816 934 1224 1401 1868 2448 2802 3736 4203 5604 7472 7939 8406 11208 15878 16812 22416 23817 31756 33624 47634 63512 67248 71451 95268 127024 142902 190536 285804 381072 571608 1143216