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11766313 = 132813221
BaseRepresentation
bin101100111000…
…101000101001
3211010210100101
4230320220221
511003010223
61100105401
7202004056
oct54705051
924123311
1011766313
116707229
123b35261
13258c820
1417c402d
1510764ad
hexb38a29

11766313 has 8 divisors (see below), whose sum is σ = 12720456. Its totient is φ = 10819200.

The previous prime is 11766299. The next prime is 11766323. The reversal of 11766313 is 31366711.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 9715689 = 1432^2 + 3117^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11766313 is a prime.

It is a super-2 number, since 2×117663132 = 276892243227938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11766323) 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 7 ways as a sum of consecutive naturals, for example, 2043 + ... + 5263.

It is an arithmetic number, because the mean of its divisors is an integer number (1590057).

Almost surely, 211766313 is an apocalyptic number.

11766313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11766313 is a deficient number, since it is larger than the sum of its proper divisors (954143).

11766313 is a wasteful number, since it uses less digits than its factorization.

11766313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515.

The product of its digits is 2268, while the sum is 28.

The square root of 11766313 is about 3430.2059704922. The cubic root of 11766313 is about 227.4469578067.

It can be divided in two parts, 117 and 66313, that added together give a triangular number (66430 = T364).

The spelling of 11766313 in words is "eleven million, seven hundred sixty-six thousand, three hundred thirteen".

Divisors: 1 13 281 3221 3653 41873 905101 11766313