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810040 = 235711263
BaseRepresentation
bin11000101110000111000
31112011011111
43011300320
5201410130
625210104
76612430
oct3056070
91464144
10810040
11503660
12330934
1322491a
141712c0
1511002a
hexc5c38

810040 has 64 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 251520.

The previous prime is 810023. The next prime is 810049. The reversal of 810040 is 40018.

It is a self number, because there is not a number n which added to its sum of digits gives 810040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810049) by changing a digit.

810040 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 15 ways as a sum of consecutive naturals, for example, 2949 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2810040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480).

810040 is an abundant number, since it is smaller than the sum of its proper divisors (1470920).

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

810040 is a wasteful number, since it uses less digits than its factorization.

810040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 810040 is about 900.0222219479. The cubic root of 810040 is about 93.2185095892.

Adding to 810040 its reverse (40018), we get a palindrome (850058).

The spelling of 810040 in words is "eight hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 263 280 308 385 440 526 616 770 1052 1315 1540 1841 2104 2630 2893 3080 3682 5260 5786 7364 9205 10520 11572 14465 14728 18410 20251 23144 28930 36820 40502 57860 73640 81004 101255 115720 162008 202510 405020 810040