Search a number
-
+
10467136 = 26413989
BaseRepresentation
bin100111111011…
…011101000000
3201200210012201
4213323131000
510134422021
61012202544
7154653301
oct47733500
921623181
1010467136
1159aa129
123609454
132226394
1415667a8
15dbb591
hex9fb740

10467136 has 28 divisors (see below), whose sum is σ = 21282660. Its totient is φ = 5104640.

The previous prime is 10467133. The next prime is 10467143. The reversal of 10467136 is 63176401.

It can be written as a sum of positive squares in 2 ways, for example, as 2310400 + 8156736 = 1520^2 + 2856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10467133) 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 3 ways as a sum of consecutive naturals, for example, 630 + ... + 4618.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 210467136 is an apocalyptic number.

10467136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641330).

10467136 is an abundant number, since it is smaller than the sum of its proper divisors (10815524).

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

10467136 is an equidigital number, since it uses as much as digits as its factorization.

10467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10467136 is about 3235.2953497324. The cubic root of 10467136 is about 218.7472602650.

The spelling of 10467136 in words is "ten million, four hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 3989 7978 15956 31912 63824 127648 163549 255296 327098 654196 1308392 2616784 5233568 10467136