Search a number
-
+
10185102 = 235191103
BaseRepresentation
bin100110110110…
…100110001110
3201011110100000
4212312212032
510101410402
61002145130
7152400114
oct46664616
921143300
1010185102
115827244
1234b21a6
132157bb5
1414d1ab4
15d62c1c
hex9b698e

10185102 has 48 divisors (see below), whose sum is σ = 24111360. Its totient is φ = 3213432.

The previous prime is 10185059. The next prime is 10185103. The reversal of 10185102 is 20158101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8683 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 210185102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10185102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055680).

10185102 is an abundant number, since it is smaller than the sum of its proper divisors (13926258).

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

10185102 is a wasteful number, since it uses less digits than its factorization.

10185102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10185102 is about 3191.4106598807. The cubic root of 10185102 is about 216.7646510133.

The spelling of 10185102 in words is "ten million, one hundred eighty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1103 1539 2206 3078 3309 4617 6618 9234 9927 19854 20957 29781 41914 59562 62871 89343 125742 178686 188613 268029 377226 536058 565839 1131678 1697517 3395034 5092551 10185102