Search a number
-
+
10399240 = 2351741373
BaseRepresentation
bin100111101010…
…111000001000
3201120100002001
4213222320020
510130233430
61010520344
7154251325
oct47527010
921510061
1010399240
115963115
1235960b4
1322014c7
141549b4c
15da63ca
hex9eae08

10399240 has 64 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 3809280.

The previous prime is 10399217. The next prime is 10399241. The reversal of 10399240 is 4299301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3334276 + 7064964 = 1826^2 + 2658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10399199 and 10399208.

It is not an unprimeable number, because it can be changed into a prime (10399241) 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 15 ways as a sum of consecutive naturals, for example, 27694 + ... + 28066.

Almost surely, 210399240 is an apocalyptic number.

10399240 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 10399240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

10399240 is an abundant number, since it is smaller than the sum of its proper divisors (15047720).

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

10399240 is a wasteful number, since it uses less digits than its factorization.

10399240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10399240 is about 3224.7852641688. The cubic root of 10399240 is about 218.2732594404.

The spelling of 10399240 in words is "ten million, three hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 373 410 680 697 746 820 1394 1492 1640 1865 2788 2984 3485 3730 5576 6341 6970 7460 12682 13940 14920 15293 25364 27880 30586 31705 50728 61172 63410 76465 122344 126820 152930 253640 259981 305860 519962 611720 1039924 1299905 2079848 2599810 5199620 10399240