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11261327 = 7211171229
BaseRepresentation
bin101010111101…
…010110001111
3210012010122012
4222331112033
510340330302
61041211435
7164501600
oct52752617
923163565
1011261327
1163a1890
123930b7b
132443a0c
1416d1da7
15ec6a52
hexabd58f

11261327 has 24 divisors (see below), whose sum is σ = 15143760. Its totient is φ = 8252160.

The previous prime is 11261323. The next prime is 11261333. The reversal of 11261327 is 72316211.

11261327 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 11261327 - 22 = 11261323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8549 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (630990).

Almost surely, 211261327 is an apocalyptic number.

11261327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11261327 is a deficient number, since it is larger than the sum of its proper divisors (3882433).

11261327 is a wasteful number, since it uses less digits than its factorization.

11261327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 11261327 is about 3355.7900709073. The cubic root of 11261327 is about 224.1454133945.

Adding to 11261327 its reverse (72316211), we get a palindrome (83577538).

The spelling of 11261327 in words is "eleven million, two hundred sixty-one thousand, three hundred twenty-seven".

Divisors: 1 7 11 17 49 77 119 187 539 833 1229 1309 8603 9163 13519 20893 60221 94633 146251 229823 662431 1023757 1608761 11261327