Search a number
-
+
10328022 = 2323183223
BaseRepresentation
bin100111011001…
…011111010110
3201102201101100
4213121133112
510120444042
61005210530
7153533565
oct47313726
921381340
1010328022
115914661
123560a46
1321a7c73
14152bbdc
15d9024c
hex9d97d6

10328022 has 48 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 3276720.

The previous prime is 10327987. The next prime is 10328029. The reversal of 10328022 is 22082301.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10327986 and 10328004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46203 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 210328022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10328022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

10328022 is an abundant number, since it is smaller than the sum of its proper divisors (13154346).

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

10328022 is a wasteful number, since it uses less digits than its factorization.

10328022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

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

The square root of 10328022 is about 3213.7240080629. The cubic root of 10328022 is about 217.7738445269.

The spelling of 10328022 in words is "ten million, three hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 83 93 166 186 223 249 279 446 498 558 669 747 1338 1494 2007 2573 4014 5146 6913 7719 13826 15438 18509 20739 23157 37018 41478 46314 55527 62217 111054 124434 166581 333162 573779 1147558 1721337 3442674 5164011 10328022