Search a number
-
+
11112180 = 22351671109
BaseRepresentation
bin101010011000…
…111011110100
3202220120001020
4222120323310
510321042210
61034101140
7163311012
oct52307364
922816036
1011112180
1162aa822
12387a7b0
1323c0b71
1416938b2
15e97770
hexa98ef4

11112180 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 2942848.

The previous prime is 11112161. The next prime is 11112193. The reversal of 11112180 is 8121111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9466 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 211112180 is an apocalyptic number.

11112180 is a gapful number since it is divisible by the number (10) 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 11112180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

11112180 is an abundant number, since it is smaller than the sum of its proper divisors (20216460).

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

11112180 is a wasteful number, since it uses less digits than its factorization.

11112180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

The square root of 11112180 is about 3333.4936628108. The cubic root of 11112180 is about 223.1514719590.

Adding to 11112180 its reverse (8121111), we get a palindrome (19233291).

The spelling of 11112180 in words is "eleven million, one hundred twelve thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1109 1670 2004 2218 2505 3327 3340 4436 5010 5545 6654 10020 11090 13308 16635 22180 33270 66540 185203 370406 555609 740812 926015 1111218 1852030 2222436 2778045 3704060 5556090 11112180