Search a number
-
+
10385874 = 233414691
BaseRepresentation
bin100111100111…
…100111010010
3201112122202000
4213213213102
510124321444
61010334430
7154164342
oct47474722
921478660
1010385874
115954074
12358a416
1321c83b5
141544d22
15da2469
hex9e79d2

10385874 has 32 divisors (see below), whose sum is σ = 23647680. Its totient is φ = 3376800.

The previous prime is 10385867. The next prime is 10385923. The reversal of 10385874 is 47858301.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (738990).

Almost surely, 210385874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823840).

10385874 is an abundant number, since it is smaller than the sum of its proper divisors (13261806).

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

10385874 is a wasteful number, since it uses less digits than its factorization.

10385874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 10385874 is about 3222.7122117868. The cubic root of 10385874 is about 218.1797048091.

The spelling of 10385874 in words is "ten million, three hundred eighty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 4691 9382 14073 28146 42219 84438 126657 192331 253314 384662 576993 1153986 1730979 3461958 5192937 10385874