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813060 = 223254517
BaseRepresentation
bin11000110100000000100
31112022022100
43012200010
5202004220
625232100
76624303
oct3064004
91468270
10813060
11505956
12332630
13226101
1417243a
15110d90
hexc6804

813060 has 36 divisors (see below), whose sum is σ = 2466828. Its totient is φ = 216768.

The previous prime is 813049. The next prime is 813061. The reversal of 813060 is 60318.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 715716 = 312^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8130602 = 1322133127200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (813061) by changing a digit.

813060 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, 2079 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (68523).

2813060 is an apocalyptic number.

It is an amenable number.

813060 is an abundant number, since it is smaller than the sum of its proper divisors (1653768).

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

813060 is a wasteful number, since it uses less digits than its factorization.

813060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 813060 is about 901.6983974700. The cubic root of 813060 is about 93.3342120099.

Adding to 813060 its reverse (60318), we get a palindrome (873378).

The spelling of 813060 in words is "eight hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4517 9034 13551 18068 22585 27102 40653 45170 54204 67755 81306 90340 135510 162612 203265 271020 406530 813060