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11116875 = 35472112
BaseRepresentation
bin101010011010…
…000101001011
3202220210111010
4222122011023
510321220000
61034135003
7163330500
oct52320513
922823433
1011116875
116303300
123881463
1323c3043
1416954a7
15e98d50
hexa9a14b

11116875 has 90 divisors (see below), whose sum is σ = 23683044. Its totient is φ = 4620000.

The previous prime is 11116849. The next prime is 11116877. The reversal of 11116875 is 57861111.

11116875 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11116875 - 26 = 11116811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11116877) 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 89 ways as a sum of consecutive naturals, for example, 1010620 + ... + 1010630.

Almost surely, 211116875 is an apocalyptic number.

11116875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11116875 is an abundant number, since it is smaller than the sum of its proper divisors (12566169).

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

11116875 is an equidigital number, since it uses as much as digits as its factorization.

11116875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its digits is 1680, while the sum is 30.

The square root of 11116875 is about 3334.1978045701. The cubic root of 11116875 is about 223.1828953954.

Adding to 11116875 its reverse (57861111), we get a palindrome (68977986).

It can be divided in two parts, 11 and 116875, that added together give a triangular number (116886 = T483).

The spelling of 11116875 in words is "eleven million, one hundred sixteen thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 125 147 165 175 231 245 275 363 375 385 525 539 605 625 735 825 847 875 1155 1225 1375 1617 1815 1875 1925 2541 2625 2695 3025 3675 4125 4235 4375 5775 5929 6125 6875 8085 9075 9625 12705 13125 13475 15125 17787 18375 20625 21175 28875 29645 30625 40425 45375 48125 63525 67375 75625 88935 91875 105875 144375 148225 202125 226875 317625 336875 444675 529375 741125 1010625 1588125 2223375 3705625 11116875