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16337113 = 131379173
BaseRepresentation
bin111110010100…
…100011011001
31010202000022021
4332110203121
513140241423
61342054441
7255602032
oct76244331
933660267
1016337113
119249351
12557a421
133500140
142253a89
15167a95d
hexf948d9

16337113 has 8 divisors (see below), whose sum is σ = 17724168. Its totient is φ = 14968704.

The previous prime is 16337077. The next prime is 16337117. The reversal of 16337113 is 31173361.

It can be written as a sum of positive squares in 4 ways, for example, as 80089 + 16257024 = 283^2 + 4032^2 .

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-16337113 is a prime.

It is a super-2 number, since 2×163371132 = 533802522349538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16337117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2806 + ... + 6367.

It is an arithmetic number, because the mean of its divisors is an integer number (2215521).

Almost surely, 216337113 is an apocalyptic number.

16337113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16337113 is a deficient number, since it is larger than the sum of its proper divisors (1387055).

16337113 is a wasteful number, since it uses less digits than its factorization.

16337113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323.

The product of its digits is 1134, while the sum is 25.

The square root of 16337113 is about 4041.9194697569. The cubic root of 16337113 is about 253.7416566453.

It can be divided in two parts, 16337 and 113, that multiplied together give a triangular number (1846081 = T1921).

The spelling of 16337113 in words is "sixteen million, three hundred thirty-seven thousand, one hundred thirteen".

Divisors: 1 13 137 1781 9173 119249 1256701 16337113