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6240096 = 253247461
BaseRepresentation
bin10111110011011101100000
3102202000210200
4113303131200
53044140341
6341425200
7104016462
oct27633540
912660720
106240096
113582305
12210b200
1313a6385
14b86132
15833db6
hex5f3760

6240096 has 72 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 2031360.

The previous prime is 6240089. The next prime is 6240097. The reversal of 6240096 is 6900426.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13306 + ... + 13766.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 26240096 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 6240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

6240096 is an abundant number, since it is smaller than the sum of its proper divisors (11922048).

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

6240096 is a wasteful number, since it uses less digits than its factorization.

6240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6240096 is about 2498.0184146639. The cubic root of 6240096 is about 184.1042257649.

The spelling of 6240096 in words is "six million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 461 564 752 846 922 1128 1383 1504 1692 1844 2256 2766 3384 3688 4149 4512 5532 6768 7376 8298 11064 13536 14752 16596 21667 22128 33192 43334 44256 65001 66384 86668 130002 132768 173336 195003 260004 346672 390006 520008 693344 780012 1040016 1560024 2080032 3120048 6240096