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11966813 = 113137773
BaseRepresentation
bin101101101001…
…100101011101
3211111222101022
4231221211131
511030414223
61104253525
7203500445
oct55514535
924458338
1011966813
116833931
1240112a5
13262cb71
141837125
1510b5ac8
hexb6995d

11966813 has 8 divisors (see below), whose sum is σ = 12176568. Its totient is φ = 11759104.

The previous prime is 11966809. The next prime is 11966819. The reversal of 11966813 is 31866911.

It can be written as a sum of positive squares in 4 ways, for example, as 284089 + 11682724 = 533^2 + 3418^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11966813 - 22 = 11966809 is a prime.

It is a super-2 number, since 2×119668132 = 286409226753938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15095 + ... + 15867.

It is an arithmetic number, because the mean of its divisors is an integer number (1522071).

Almost surely, 211966813 is an apocalyptic number.

It is an amenable number.

11966813 is a deficient number, since it is larger than the sum of its proper divisors (209755).

11966813 is a wasteful number, since it uses less digits than its factorization.

11966813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023.

The product of its digits is 7776, while the sum is 35.

The square root of 11966813 is about 3459.3081678278. The cubic root of 11966813 is about 228.7316001405.

The spelling of 11966813 in words is "eleven million, nine hundred sixty-six thousand, eight hundred thirteen".

Divisors: 1 113 137 773 15481 87349 105901 11966813