Search a number
-
+
10143380 = 2251323001
BaseRepresentation
bin100110101100…
…011010010100
3201002100002202
4212230122110
510044042010
61001224032
7152134352
oct46543224
921070082
1010143380
1157a8965
123492018
132141c00
1414c07d2
15d556a5
hex9ac694

10143380 has 36 divisors (see below), whose sum is σ = 23073372. Its totient is φ = 3744000.

The previous prime is 10143379. The next prime is 10143389. The reversal of 10143380 is 8334101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1860496 + 8282884 = 1364^2 + 2878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1880 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (640927).

Almost surely, 210143380 is an apocalyptic number.

10143380 is a gapful number since it is divisible by the number (10) 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 10143380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536686).

10143380 is an abundant number, since it is smaller than the sum of its proper divisors (12929992).

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

10143380 is a wasteful number, since it uses less digits than its factorization.

10143380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10143380 is about 3184.8673441762. The cubic root of 10143380 is about 216.4682628195.

Adding to 10143380 its reverse (8334101), we get a palindrome (18477481).

The spelling of 10143380 in words is "ten million, one hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3001 3380 6002 12004 15005 30010 39013 60020 78026 156052 195065 390130 507169 780260 1014338 2028676 2535845 5071690 10143380