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11187972 = 223217101181
BaseRepresentation
bin101010101011…
…011100000100
3210001102000100
4222223130010
510331003342
61035444100
7164044665
oct52533404
923042010
1011187972
116351764
1238b6630
132419503
1416b336c
15eaee4c
hexaab704

11187972 has 72 divisors (see below), whose sum is σ = 30407832. Its totient is φ = 3456000.

The previous prime is 11187899. The next prime is 11187973. The reversal of 11187972 is 27978111.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 8678916 = 1584^2 + 2946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11187973) 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 23 ways as a sum of consecutive naturals, for example, 61722 + ... + 61902.

It is an arithmetic number, because the mean of its divisors is an integer number (422331).

Almost surely, 211187972 is an apocalyptic number.

11187972 is a gapful number since it is divisible by the number (12) 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 11187972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203916).

11187972 is an abundant number, since it is smaller than the sum of its proper divisors (19219860).

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

11187972 is a wasteful number, since it uses less digits than its factorization.

11187972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11187972 is about 3344.8425971935. The cubic root of 11187972 is about 223.6576669267.

The spelling of 11187972 in words is "eleven million, one hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 181 202 204 303 306 362 404 543 606 612 724 909 1086 1212 1629 1717 1818 2172 3077 3258 3434 3636 5151 6154 6516 6868 9231 10302 12308 15453 18281 18462 20604 27693 30906 36562 36924 54843 55386 61812 73124 109686 110772 164529 219372 310777 329058 621554 658116 932331 1243108 1864662 2796993 3729324 5593986 11187972