Search a number
-
+
140332410 = 23251739013
BaseRepresentation
bin10000101110101…
…00110101111010
3100210001121212200
420113110311322
5241411114120
621531451030
73322543251
oct1027246572
9323047780
10140332410
11722398a9
123abb6a76
13230c573a
14148cd798
15c4bee90
hex85d4d7a

140332410 has 48 divisors (see below), whose sum is σ = 367014024. Its totient is φ = 37201536.

The previous prime is 140332403. The next prime is 140332411. The reversal of 140332410 is 14233041.

It can be written as a sum of positive squares in 4 ways, for example, as 132227001 + 8105409 = 11499^2 + 2847^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140332411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11064 + ... + 20076.

Almost surely, 2140332410 is an apocalyptic number.

140332410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140332410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183507012).

140332410 is an abundant number, since it is smaller than the sum of its proper divisors (226681614).

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

140332410 is a wasteful number, since it uses less digits than its factorization.

140332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9199 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 140332410 is about 11846.1981242929. The cubic root of 140332410 is about 519.6600465393.

Adding to 140332410 its reverse (14233041), we get a palindrome (154565451).

The spelling of 140332410 in words is "one hundred forty million, three hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 9013 15570 18026 27039 45065 54078 81117 90130 135195 162234 270390 405585 811170 1559249 3118498 4677747 7796245 9355494 14033241 15592490 23388735 28066482 46777470 70166205 140332410