Search a number
-
+
1116816 = 24353439
BaseRepresentation
bin100010000101010010000
32002201222120
410100222100
5241214231
635534240
712331011
oct4205220
92081876
101116816
116a3098
1245a380
1330144c
14211008
15170d96
hex110a90

1116816 has 40 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 364416.

The previous prime is 1116809. The next prime is 1116821. The reversal of 1116816 is 6186111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

21116816 is an apocalyptic number.

1116816 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 1116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

1116816 is an abundant number, since it is smaller than the sum of its proper divisors (1829424).

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

1116816 is a wasteful number, since it uses less digits than its factorization.

1116816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 1116816 is about 1056.7951551744. The cubic root of 1116816 is about 103.7513785078.

The spelling of 1116816 in words is "one million, one hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 439 636 848 878 1272 1317 1756 2544 2634 3512 5268 7024 10536 21072 23267 46534 69801 93068 139602 186136 279204 372272 558408 1116816