Search a number
-
+
10365150 = 2352431607
BaseRepresentation
bin100111100010…
…100011011110
3201111121022110
4213202203132
510123141100
61010054450
7154050045
oct47424336
921447273
1010365150
11593a544
12357a426
1321bbb33
14153b55c
15d9b250
hex9e28de

10365150 has 48 divisors (see below), whose sum is σ = 26319744. Its totient is φ = 2698080.

The previous prime is 10365149. The next prime is 10365161. The reversal of 10365150 is 5156301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 5647 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (548328).

Almost surely, 210365150 is an apocalyptic number.

10365150 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 10365150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159872).

10365150 is an abundant number, since it is smaller than the sum of its proper divisors (15954594).

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

10365150 is a wasteful number, since it uses less digits than its factorization.

10365150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 10365150 is about 3219.4953020621. The cubic root of 10365150 is about 218.0344893949.

The spelling of 10365150 in words is "ten million, three hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 1607 2150 3214 3225 4821 6450 8035 9642 16070 24105 40175 48210 69101 80350 120525 138202 207303 241050 345505 414606 691010 1036515 1727525 2073030 3455050 5182575 10365150