Search a number
-
+
8307240096 = 253234338689
BaseRepresentation
bin1111011110010011…
…00110110010100000
3210102221112112002010
413233021212302200
5114003123140341
63452152552520
7412601242611
oct75711466240
923387475063
108307240096
113583247491
12173a0b2740
13a250a74ac
1458b403c08
15339489716
hex1ef266ca0

8307240096 has 96 divisors (see below), whose sum is σ = 22809790080. Its totient is φ = 2642264064.

The previous prime is 8307240091. The next prime is 8307240131. The reversal of 8307240096 is 6900427038.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8307240091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 951720 + ... + 960408.

It is an arithmetic number, because the mean of its divisors is an integer number (237601980).

Almost surely, 28307240096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8307240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404895040).

8307240096 is an abundant number, since it is smaller than the sum of its proper divisors (14502549984).

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

8307240096 is a wasteful number, since it uses less digits than its factorization.

8307240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 8307240096 is about 91144.0623189465. The cubic root of 8307240096 is about 2025.2823948801.

The spelling of 8307240096 in words is "eight billion, three hundred seven million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 433 552 736 866 1104 1299 1732 2208 2598 3464 5196 6928 8689 9959 10392 13856 17378 19918 20784 26067 29877 34756 39836 41568 52134 59754 69512 79672 104268 119508 139024 159344 199847 208536 239016 278048 318688 399694 417072 478032 599541 799388 834144 956064 1199082 1598776 2398164 3197552 3762337 4796328 6395104 7524674 9592656 11287011 15049348 19185312 22574022 30098696 45148044 60197392 86533751 90296088 120394784 173067502 180592176 259601253 346135004 361184352 519202506 692270008 1038405012 1384540016 2076810024 2769080032 4153620048 8307240096