Search a number
-
+
10338036 = 2232961487
BaseRepresentation
bin100111011011…
…111011110100
3201110020010020
4213123323310
510121304121
61005325140
7153605022
oct47337364
921406106
1010338036
115921135
1235667b0
1321ac6a7
141531712
15d931c6
hex9dbef4

10338036 has 48 divisors (see below), whose sum is σ = 25415040. Its totient is φ = 3265920.

The previous prime is 10338001. The next prime is 10338037. The reversal of 10338036 is 63083301.

It is a junction number, because it is equal to n+sod(n) for n = 10337997 and 10338015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20985 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (529480).

Almost surely, 210338036 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 10338036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707520).

10338036 is an abundant number, since it is smaller than the sum of its proper divisors (15077004).

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

10338036 is a wasteful number, since it uses less digits than its factorization.

10338036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10338036 is about 3215.2816361868. The cubic root of 10338036 is about 217.8442059453.

The spelling of 10338036 in words is "ten million, three hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 487 732 974 1461 1769 1948 2922 3538 5307 5844 7076 10614 14123 21228 28246 29707 42369 56492 59414 84738 89121 118828 169476 178242 356484 861503 1723006 2584509 3446012 5169018 10338036