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1114407 = 3273192
BaseRepresentation
bin100010000000100100111
32002121200100
410100010213
5241130112
635515143
712321000
oct4200447
92077610
101114407
116a12a8
12458ab3
13300318
142101a7
151702dc
hex110127

1114407 has 36 divisors (see below), whose sum is σ = 1981200. Its totient is φ = 603288.

The previous prime is 1114397. The next prime is 1114423. The reversal of 1114407 is 7044111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 1114407 - 211 = 1112359 is a prime.

It is an Ulam number.

1114407 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1114407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58644 + ... + 58662.

21114407 is an apocalyptic number.

1114407 is a deficient number, since it is larger than the sum of its proper divisors (866793).

1114407 is an equidigital number, since it uses as much as digits as its factorization.

1114407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1114407 is about 1055.6547731148. The cubic root of 1114407 is about 103.6767267021.

Multiplying 1114407 by its product of nonzero digits (112), we get a square (124813584 = 111722).

Adding to 1114407 its reverse (7044111), we get a palindrome (8158518).

It can be divided in two parts, 1114 and 407, that added together give a square (1521 = 392).

The spelling of 1114407 in words is "one million, one hundred fourteen thousand, four hundred seven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 361 399 441 931 1029 1083 1197 2527 2793 3087 3249 6517 7581 8379 17689 19551 22743 53067 58653 123823 159201 371469 1114407