Search a number
-
+
10189530 = 2335132903
BaseRepresentation
bin100110110111…
…101011011010
3201011200102000
4212313223122
510102031110
61002221430
7152416041
oct46675332
921150360
1010189530
11582a5aa
1234b4876
132159c10
1414d3558
15d641c0
hex9b7ada

10189530 has 64 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 2507328.

The previous prime is 10189523. The next prime is 10189537. The reversal of 10189530 is 3598101.

It is an interprime number because it is at equal distance from previous prime (10189523) and next prime (10189537).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10189494 and 10189503.

It is not an unprimeable number, because it can be changed into a prime (10189537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 210189530 is an apocalyptic number.

10189530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10189530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

10189530 is an abundant number, since it is smaller than the sum of its proper divisors (19082790).

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

10189530 is a wasteful number, since it uses less digits than its factorization.

10189530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10189530 is about 3192.1043216035. The cubic root of 10189530 is about 216.7960594637.

The spelling of 10189530 in words is "ten million, one hundred eighty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 2903 3510 5806 8709 14515 17418 26127 29030 37739 43545 52254 75478 78381 87090 113217 130635 156762 188695 226434 261270 339651 377390 391905 566085 679302 783810 1018953 1132170 1698255 2037906 3396510 5094765 10189530