Search a number
-
+
814045 = 51761157
BaseRepresentation
bin11000110101111011101
31112100122211
43012233131
5202022140
625240421
76630211
oct3065735
91470584
10814045
11506671
12333111
132266ab
14172941
151112ea
hexc6bdd

814045 has 16 divisors (see below), whose sum is σ = 1057968. Its totient is φ = 599040.

The previous prime is 814043. The next prime is 814049. The reversal of 814045 is 540418.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 727609 = 294^2 + 853^2 .

It is not a de Polignac number, because 814045 - 21 = 814043 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814043) 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 15 ways as a sum of consecutive naturals, for example, 5107 + ... + 5263.

It is an arithmetic number, because the mean of its divisors is an integer number (66123).

2814045 is an apocalyptic number.

814045 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

814045 is a deficient number, since it is larger than the sum of its proper divisors (243923).

814045 is a wasteful number, since it uses less digits than its factorization.

814045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 814045 is about 902.2444236458. The cubic root of 814045 is about 93.3718874166.

It can be divided in two parts, 81 and 4045, that multiplied together give a triangular number (327645 = T809).

The spelling of 814045 in words is "eight hundred fourteen thousand, forty-five".

Divisors: 1 5 17 61 85 157 305 785 1037 2669 5185 9577 13345 47885 162809 814045