Search a number
-
+
11187312 = 243233069
BaseRepresentation
bin101010101011…
…010001110000
3210001101002220
4222223101300
510330443222
61035441040
7164043033
oct52532160
923041086
1011187312
116351214
1238b6180
132419116
1416b301a
15eaeb5c
hexaab470

11187312 has 20 divisors (see below), whose sum is σ = 28900680. Its totient is φ = 3729088.

The previous prime is 11187289. The next prime is 11187313. The reversal of 11187312 is 21378111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187313) 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 3 ways as a sum of consecutive naturals, for example, 116487 + ... + 116582.

It is an arithmetic number, because the mean of its divisors is an integer number (1445034).

Almost surely, 211187312 is an apocalyptic number.

11187312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11187312 is an abundant number, since it is smaller than the sum of its proper divisors (17713368).

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

11187312 is a wasteful number, since it uses less digits than its factorization.

11187312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233080 (or 233074 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 11187312 is about 3344.7439363874. The cubic root of 11187312 is about 223.6532688415.

The spelling of 11187312 in words is "eleven million, one hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 233069 466138 699207 932276 1398414 1864552 2796828 3729104 5593656 11187312