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1161216 = 211347
BaseRepresentation
bin100011011100000000000
32011222220000
410123200000
5244124331
640520000
712604320
oct4334000
92158800
101161216
11723491
12480000
13318714
14223280
1517e0e6
hex11b800

1161216 has 120 divisors (see below), whose sum is σ = 3963960. Its totient is φ = 331776.

The previous prime is 1161203. The next prime is 1161217. The reversal of 1161216 is 6121611.

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.

Its product of digits (72) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165885 + ... + 165891.

It is an arithmetic number, because the mean of its divisors is an integer number (33033).

21161216 is an apocalyptic number.

1161216 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 1161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981980).

1161216 is an abundant number, since it is smaller than the sum of its proper divisors (2802744).

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

1161216 is an frugal number, since it uses more digits than its factorization.

1161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1161216 is about 1077.5973273909. The cubic root of 1161216 is about 105.1084593573.

Adding to 1161216 its reverse (6121611), we get a palindrome (7282827).

It can be divided in two parts, 11612 and 16, that added together give a triangular number (11628 = T152).

The spelling of 1161216 in words is "one million, one hundred sixty-one thousand, two hundred sixteen".