Search a number
-
+
10307540 = 225515377
BaseRepresentation
bin100111010100…
…011111010100
3201101200021202
4213110133110
510114320130
61004532032
7153420065
oct47243724
921350252
1010307540
115900231
123551018
13219b849
14152456c
15d89145
hex9d47d4

10307540 has 12 divisors (see below), whose sum is σ = 21645876. Its totient is φ = 4123008.

The previous prime is 10307537. The next prime is 10307543. The reversal of 10307540 is 4570301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10307537) and next prime (10307543).

It can be written as a sum of positive squares in 2 ways, for example, as 1175056 + 9132484 = 1084^2 + 3022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 515377 = 10307540 / (1 + 0 + 3 + 0 + 7 + 5 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10307543) 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, 257669 + ... + 257708.

It is an arithmetic number, because the mean of its divisors is an integer number (1803823).

Almost surely, 210307540 is an apocalyptic number.

10307540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10307540 is an abundant number, since it is smaller than the sum of its proper divisors (11338336).

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

10307540 is a wasteful number, since it uses less digits than its factorization.

10307540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515386 (or 515384 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10307540 is about 3210.5357808316. The cubic root of 10307540 is about 217.6297899761.

Adding to 10307540 its reverse (4570301), we get a palindrome (14877841).

The spelling of 10307540 in words is "ten million, three hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 515377 1030754 2061508 2576885 5153770 10307540