Search a number
-
+
801090 = 23452343
BaseRepresentation
bin11000011100101000010
31111200220000
43003211002
5201113330
625100430
76544353
oct3034502
91450800
10801090
114a7964
12327716
13220824
1416bd2a
1510c560
hexc3942

801090 has 80 divisors (see below), whose sum is σ = 2299968. Its totient is φ = 199584.

The previous prime is 801079. The next prime is 801103. The reversal of 801090 is 90108.

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

It is an unprimeable number.

801090 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 39 ways as a sum of consecutive naturals, for example, 18609 + ... + 18651.

2801090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149984).

801090 is an abundant number, since it is smaller than the sum of its proper divisors (1498878).

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

801090 is a wasteful number, since it uses less digits than its factorization.

801090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 801090 is about 895.0363121125. The cubic root of 801090 is about 92.8739186371.

Adding to 801090 its sum of digits (18), we get a palindrome (801108).

Adding to 801090 its reverse (90108), we get a palindrome (891198).

It can be divided in two parts, 8010 and 90, that added together give a square (8100 = 902).

The spelling of 801090 in words is "eight hundred one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 43 45 46 54 69 81 86 90 115 129 135 138 162 207 215 230 258 270 345 387 405 414 430 621 645 690 774 810 989 1035 1161 1242 1290 1863 1935 1978 2070 2322 2967 3105 3483 3726 3870 4945 5805 5934 6210 6966 8901 9315 9890 11610 14835 17415 17802 18630 26703 29670 34830 44505 53406 80109 89010 133515 160218 267030 400545 801090