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11680167 = 319320173
BaseRepresentation
bin101100100011…
…100110100111
3210222102011210
4230203212213
510442231132
61054202503
7201164652
oct54434647
923872153
1011680167
116658534
123ab3433
13255c555
1417a0899
15105abcc
hexb239a7

11680167 has 8 divisors (see below), whose sum is σ = 15655024. Its totient is φ = 7746048.

The previous prime is 11680153. The next prime is 11680181. The reversal of 11680167 is 76108611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11680153) and next prime (11680181).

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

It is not a de Polignac number, because 11680167 - 220 = 10631591 is a prime.

It is a super-2 number, since 2×116801672 = 272852602295778, 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 (11680187) 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, 9508 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (1956878).

Almost surely, 211680167 is an apocalyptic number.

11680167 is a deficient number, since it is larger than the sum of its proper divisors (3974857).

11680167 is a wasteful number, since it uses less digits than its factorization.

11680167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11680167 is about 3417.6259303792. The cubic root of 11680167 is about 226.8905201534.

Adding to 11680167 its reverse (76108611), we get a palindrome (87788778).

The spelling of 11680167 in words is "eleven million, six hundred eighty thousand, one hundred sixty-seven".

Divisors: 1 3 193 579 20173 60519 3893389 11680167