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11211216 = 243192647
BaseRepresentation
bin101010110001…
…000111010000
3210002120220020
4222301013100
510332224331
61040143440
7164202522
oct52610720
923076806
1011211216
116368175
123907b80
132426c73
1416bba12
15eb6c96
hexab11d0

11211216 has 60 divisors (see below), whose sum is σ = 30614112. Its totient is φ = 3534912.

The previous prime is 11211209. The next prime is 11211217. The reversal of 11211216 is 61211211.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 11211195 and 11211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211217) 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, 17005 + ... + 17651.

Almost surely, 211211216 is an apocalyptic number.

11211216 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 11211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307056).

11211216 is an abundant number, since it is smaller than the sum of its proper divisors (19402896).

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

11211216 is a wasteful number, since it uses less digits than its factorization.

11211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 11211216 is about 3348.3153973304. The cubic root of 11211216 is about 223.8124493039.

Adding to 11211216 its reverse (61211211), we get a palindrome (72422427).

The spelling of 11211216 in words is "eleven million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 647 722 912 1083 1294 1444 1941 2166 2588 2888 3882 4332 5176 5776 7764 8664 10352 12293 15528 17328 24586 31056 36879 49172 73758 98344 147516 196688 233567 295032 467134 590064 700701 934268 1401402 1868536 2802804 3737072 5605608 11211216