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11152180 = 2251359727
BaseRepresentation
bin101010100010…
…101100110100
3202222120220201
4222202230310
510323332210
61035010244
7163535434
oct52425464
922876821
1011152180
116327886
123899984
132406130
1416a42c4
15ea453a
hexaa2b34

11152180 has 48 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 4042368.

The previous prime is 11152177. The next prime is 11152189. The reversal of 11152180 is 8125111.

It is a happy number.

It is a super-2 number, since 2×111521802 = 248742237504800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14977 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 211152180 is an apocalyptic number.

11152180 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 11152180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

11152180 is an abundant number, since it is smaller than the sum of its proper divisors (14531660).

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

11152180 is a wasteful number, since it uses less digits than its factorization.

11152180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 11152180 is about 3339.4879847066. The cubic root of 11152180 is about 223.4189073319.

Adding to 11152180 its reverse (8125111), we get a palindrome (19277291).

The spelling of 11152180 in words is "eleven million, one hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 727 767 1180 1454 1534 2908 3068 3635 3835 7270 7670 9451 14540 15340 18902 37804 42893 47255 85786 94510 171572 189020 214465 428930 557609 857860 1115218 2230436 2788045 5576090 11152180