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810414 = 232114093
BaseRepresentation
bin11000101110110101110
31112011200100
43011312232
5201413124
625211530
76613503
oct3056656
91464610
10810414
11503970
12330ba6
13224b47
141714aa
151101c9
hexc5dae

810414 has 24 divisors (see below), whose sum is σ = 1915992. Its totient is φ = 245520.

The previous prime is 810409. The next prime is 810419. The reversal of 810414 is 414018.

It is an interprime number because it is at equal distance from previous prime (810409) and next prime (810419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810419) by changing a digit.

810414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (79833).

2810414 is an apocalyptic number.

810414 is an abundant number, since it is smaller than the sum of its proper divisors (1105578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

810414 is a wasteful number, since it uses less digits than its factorization.

810414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 810414 is about 900.2299706186. The cubic root of 810414 is about 93.2328538842.

It can be divided in two parts, 8104 and 14, that added together give a palindrome (8118).

The spelling of 810414 in words is "eight hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4093 8186 12279 24558 36837 45023 73674 90046 135069 270138 405207 810414