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1110393 = 32123377
BaseRepresentation
bin100001111000101111001
32002102011200
410033011321
5241013033
635444413
712303204
oct4170571
92072150
101110393
11699289
12456709
132cb54b
1420c93b
1516e013
hex10f179

1110393 has 6 divisors (see below), whose sum is σ = 1603914. Its totient is φ = 740256.

The previous prime is 1110367. The next prime is 1110397. The reversal of 1110393 is 3930111.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 45369 = 1032^2 + 213^2 .

It is not a de Polignac number, because 1110393 - 29 = 1109881 is a prime.

It is a super-2 number, since 2×11103932 = 2465945228898, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110397) 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 5 ways as a sum of consecutive naturals, for example, 61680 + ... + 61697.

It is an arithmetic number, because the mean of its divisors is an integer number (267319).

21110393 is an apocalyptic number.

It is an amenable number.

1110393 is a deficient number, since it is larger than the sum of its proper divisors (493521).

1110393 is a wasteful number, since it uses less digits than its factorization.

1110393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123383 (or 123380 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 1110393 is about 1053.7518683257. The cubic root of 1110393 is about 103.5520986745.

It can be divided in two parts, 11 and 10393, that added together give a square (10404 = 1022).

The spelling of 1110393 in words is "one million, one hundred ten thousand, three hundred ninety-three".

Divisors: 1 3 9 123377 370131 1110393