Search a number
-
+
813042 = 232172657
BaseRepresentation
bin11000110011111110010
31112022021200
43012133302
5202004132
625232030
76624246
oct3063762
91468250
10813042
1150593a
12332616
132260b9
14172426
15110d7c
hexc67f2

813042 has 24 divisors (see below), whose sum is σ = 1865916. Its totient is φ = 254976.

The previous prime is 813041. The next prime is 813049. The reversal of 813042 is 240318.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 772641 + 40401 = 879^2 + 201^2 .

It is a super-2 number, since 2×8130422 = 1322074587528, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1023 + ... + 1634.

2813042 is an apocalyptic number.

813042 is an abundant number, since it is smaller than the sum of its proper divisors (1052874).

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

813042 is a wasteful number, since it uses less digits than its factorization.

813042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 813042 is about 901.6884162503. The cubic root of 813042 is about 93.3335232422. Note that the first 3 decimals are identical.

The spelling of 813042 in words is "eight hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2657 5314 7971 15942 23913 45169 47826 90338 135507 271014 406521 813042