Search a number
-
+
8904390 = 235113223
BaseRepresentation
bin100001111101…
…111011000110
3121202101112020
4201331323012
54234420030
6514504010
7135454215
oct41757306
917671466
108904390
115032000
122b95006
131ac9c91
14127b07c
15bad510
hex87dec6

8904390 has 64 divisors (see below), whose sum is σ = 23611392. Its totient is φ = 2148960.

The previous prime is 8904377. The next prime is 8904403. The reversal of 8904390 is 934098.

It is an interprime number because it is at equal distance from previous prime (8904377) and next prime (8904403).

It is a super-2 number, since 2×89043902 = 158576322544200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39819 + ... + 40041.

It is an arithmetic number, because the mean of its divisors is an integer number (368928).

Almost surely, 28904390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8904390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805696).

8904390 is an abundant number, since it is smaller than the sum of its proper divisors (14707002).

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

8904390 is a wasteful number, since it uses less digits than its factorization.

8904390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 8904390 is about 2984.0224529986. The cubic root of 8904390 is about 207.2691776932.

The spelling of 8904390 in words is "eight million, nine hundred four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 223 242 330 363 446 605 669 726 1115 1210 1331 1338 1815 2230 2453 2662 3345 3630 3993 4906 6655 6690 7359 7986 12265 13310 14718 19965 24530 26983 36795 39930 53966 73590 80949 134915 161898 269830 296813 404745 593626 809490 890439 1484065 1780878 2968130 4452195 8904390