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11817091 = 1113174861
BaseRepresentation
bin101101000101…
…000010000011
3211020101000001
4231011002003
511011121331
61101140431
7202305106
oct55050203
924211001
1011817091
1167413a0
123b5a717
1325a9980
1417d873d
151086561
hexb45083

11817091 has 16 divisors (see below), whose sum is σ = 14702688. Its totient is φ = 9331200.

The previous prime is 11817089. The next prime is 11817121. The reversal of 11817091 is 19071811.

11817091 is a nontrivial binomial coefficient, being equal to C(4862, 2).

It is a 9-Lehmer number, since φ(11817091) divides (11817091-1)9.

It is a cyclic number.

It is not a de Polignac number, because 11817091 - 21 = 11817089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11817191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (918918).

Almost surely, 211817091 is an apocalyptic number.

11817091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11817091 is the 4861-st triangular number and also the 2431-st hexagonal number.

11817091 is the 1621-st centered nonagonal number.

11817091 is a deficient number, since it is larger than the sum of its proper divisors (2885597).

11817091 is a wasteful number, since it uses less digits than its factorization.

11817091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902.

The product of its (nonzero) digits is 504, while the sum is 28.

The square root of 11817091 is about 3437.5995985571. The cubic root of 11817091 is about 227.7736737886.

The spelling of 11817091 in words is "eleven million, eight hundred seventeen thousand, ninety-one".

Divisors: 1 11 13 17 143 187 221 2431 4861 53471 63193 82637 695123 909007 1074281 11817091