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11836097 = 7213171093
BaseRepresentation
bin101101001001…
…101011000001
3211021100001222
4231021223001
511012223342
61101404425
7202414400
oct55115301
924240058
1011836097
1167546a9
123b69715
1325b5510
141801637
15108bed2
hexb49ac1

11836097 has 24 divisors (see below), whose sum is σ = 15714216. Its totient is φ = 8805888.

The previous prime is 11836087. The next prime is 11836127. The reversal of 11836097 is 79063811.

11836097 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4648336 + 7187761 = 2156^2 + 2681^2 .

It is not a de Polignac number, because 11836097 - 24 = 11836081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11836067) 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, 10283 + ... + 11375.

It is an arithmetic number, because the mean of its divisors is an integer number (654759).

Almost surely, 211836097 is an apocalyptic number.

11836097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11836097 is a deficient number, since it is larger than the sum of its proper divisors (3878119).

11836097 is a wasteful number, since it uses less digits than its factorization.

11836097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 11836097 is about 3440.3629169028. The cubic root of 11836097 is about 227.8957215253.

The spelling of 11836097 in words is "eleven million, eight hundred thirty-six thousand, ninety-seven".

Divisors: 1 7 13 17 49 91 119 221 637 833 1093 1547 7651 10829 14209 18581 53557 99463 130067 241553 696241 910469 1690871 11836097