Search a number
-
+
10320314240 = 27516125491
BaseRepresentation
bin10011001110010001…
…10111111110000000
3222122020111021122202
421213020313332000
5132114000023430
64424024052332
7513514136465
oct114710677600
928566437582
1010320314240
114416603925
1220003040a8
13c8617b722
146dc90366c
15406080d45
hex267237f80

10320314240 has 32 divisors (see below), whose sum is σ = 24672002760. Its totient is φ = 4128125440.

The previous prime is 10320314239. The next prime is 10320314261. The reversal of 10320314240 is 4241302301.

10320314240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8062106 + ... + 8063385.

Almost surely, 210320314240 is an apocalyptic number.

10320314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320314240 is an abundant number, since it is smaller than the sum of its proper divisors (14351688520).

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

10320314240 is an equidigital number, since it uses as much as digits as its factorization.

10320314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125510 (or 16125498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10320314240 its reverse (4241302301), we get a palindrome (14561616541).

The spelling of 10320314240 in words is "ten billion, three hundred twenty million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 16125491 32250982 64501964 80627455 129003928 161254910 258007856 322509820 516015712 645019640 1032031424 1290039280 2064062848 2580078560 5160157120 10320314240