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11380167 = 3210391217
BaseRepresentation
bin101011011010…
…010111000111
3210102011122200
4223122113013
510403131132
61043525543
7165505221
oct53322707
923364580
1011380167
1164730a7
1239898b3
132485b36
141723411
15eebd7c
hexada5c7

11380167 has 12 divisors (see below), whose sum is σ = 16467360. Its totient is φ = 7573248.

The previous prime is 11380141. The next prime is 11380181. The reversal of 11380167 is 76108311.

11380167 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 11380167 - 28 = 11379911 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11380167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8743 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (1372280).

Almost surely, 211380167 is an apocalyptic number.

11380167 is a deficient number, since it is larger than the sum of its proper divisors (5087193).

11380167 is a wasteful number, since it uses less digits than its factorization.

11380167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11380167 is about 3373.4503108835. The cubic root of 11380167 is about 224.9311196562.

Adding to 11380167 its reverse (76108311), we get a palindrome (87488478).

The spelling of 11380167 in words is "eleven million, three hundred eighty thousand, one hundred sixty-seven".

Divisors: 1 3 9 1039 1217 3117 3651 9351 10953 1264463 3793389 11380167