Search a number
-
+
11987190 = 23554933
BaseRepresentation
bin101101101110…
…100011110110
3211120000100000
4231232203312
511032042230
61104532130
7203614035
oct55564366
924500300
1011987190
116848176
124021046
132639217
14184071c
1510bbb60
hexb6e8f6

11987190 has 48 divisors (see below), whose sum is σ = 32327568. Its totient is φ = 3195936.

The previous prime is 11987177. The next prime is 11987191. The reversal of 11987190 is 9178911.

It is a super-2 number, since 2×119871902 = 287385448192200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37 + ... + 4896.

It is an arithmetic number, because the mean of its divisors is an integer number (673491).

Almost surely, 211987190 is an apocalyptic number.

11987190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11987190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163784).

11987190 is an abundant number, since it is smaller than the sum of its proper divisors (20340378).

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

11987190 is an equidigital number, since it uses as much as digits as its factorization.

11987190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 11987190 is about 3462.2521571948. The cubic root of 11987190 is about 228.8613540084.

The spelling of 11987190 in words is "eleven million, nine hundred eighty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 4933 9866 14799 24665 29598 44397 49330 73995 88794 133191 147990 221985 266382 399573 443970 665955 799146 1198719 1331910 1997865 2397438 3995730 5993595 11987190