Search a number
-
+
10324250240 = 27510721409
BaseRepresentation
bin10011001110101111…
…11000111010000000
3222122111220020211112
421213113320322000
5132121002001430
64424244302452
7513562451633
oct114727707200
928574806745
1010324250240
114418852017
1220016a1a28
13c86c29115
146dd249c1a
154065ac195
hex2675f8e80

10324250240 has 96 divisors (see below), whose sum is σ = 24931916100. Its totient is φ = 4088201216.

The previous prime is 10324250239. The next prime is 10324250291. The reversal of 10324250240 is 4205242301.

It is a happy number.

10324250240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8705636416 + 1618613824 = 93304^2 + 40232^2 .

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 11 ways as a sum of consecutive naturals, for example, 7326656 + ... + 7328064.

Almost surely, 210324250240 is an apocalyptic number.

10324250240 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 10324250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465958050).

10324250240 is an abundant number, since it is smaller than the sum of its proper divisors (14607665860).

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

10324250240 is an equidigital number, since it uses as much as digits as its factorization.

10324250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 10324250240 its reverse (4205242301), we get a palindrome (14529492541).

The spelling of 10324250240 in words is "ten billion, three hundred twenty-four million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 428 535 640 856 1070 1409 1712 2140 2818 3424 4280 5636 6848 7045 8560 11272 11449 13696 14090 17120 22544 22898 28180 34240 45088 45796 56360 57245 68480 90176 91592 112720 114490 150763 180352 183184 225440 228980 301526 366368 450880 457960 603052 732736 753815 901760 915920 1206104 1465472 1507630 1831840 2412208 3015260 3663680 4824416 6030520 7327360 9648832 12061040 16131641 19297664 24122080 32263282 48244160 64526564 80658205 96488320 129053128 161316410 258106256 322632820 516212512 645265640 1032425024 1290531280 2064850048 2581062560 5162125120 10324250240