Search a number
-
+
10130384 = 241157559
BaseRepresentation
bin100110101001…
…001111010000
3201001200021102
4212221033100
510043133014
61001043532
7152051435
oct46511720
921050242
1010130384
11579a120
1234865a8
132139014
1414b9b8c
15d518de
hex9a93d0

10130384 has 20 divisors (see below), whose sum is σ = 21412320. Its totient is φ = 4604640.

The previous prime is 10130383. The next prime is 10130431. The reversal of 10130384 is 48303101.

10130384 = T767 + T768 + ... + T799.

It is a happy number.

It is a super-3 number, since 3×101303843 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130381) 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 3 ways as a sum of consecutive naturals, for example, 28604 + ... + 28955.

It is an arithmetic number, because the mean of its divisors is an integer number (1070616).

Almost surely, 210130384 is an apocalyptic number.

It is an amenable number.

10130384 is an abundant number, since it is smaller than the sum of its proper divisors (11281936).

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

10130384 is a wasteful number, since it uses less digits than its factorization.

10130384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57578 (or 57572 counting only the distinct ones).

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

The square root of 10130384 is about 3182.8264168817. The cubic root of 10130384 is about 216.3757747843.

Adding to 10130384 its reverse (48303101), we get a palindrome (58433485).

The spelling of 10130384 in words is "ten million, one hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 57559 115118 230236 460472 633149 920944 1266298 2532596 5065192 10130384