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7068000240 = 2432571782493
BaseRepresentation
bin1101001010100100…
…10001111111110000
3200020120200121120200
412211102101333300
5103433402001430
63125203435200
7340103003460
oct64522217760
920216617520
107068000240
112aa777a214
121453085b00
13888424482
144b09bbba0
152b579c460
hex1a5491ff0

7068000240 has 240 divisors, whose sum is σ = 28723750848. Its totient is φ = 1520492544.

The previous prime is 7068000197. The next prime is 7068000271. The reversal of 7068000240 is 420008607.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 44434 + ... + 126926.

Almost surely, 27068000240 is an apocalyptic number.

7068000240 is a gapful number since it is divisible by the number (70) 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 7068000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361875424).

7068000240 is an abundant number, since it is smaller than the sum of its proper divisors (21655750608).

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

7068000240 is a wasteful number, since it uses less digits than its factorization.

7068000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82536 (or 82527 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7068000240 is about 84071.3996552930. The cubic root of 7068000240 is about 1919.1055078167.

Adding to 7068000240 its reverse (420008607), we get a palindrome (7488008847).

The spelling of 7068000240 in words is "seven billion, sixty-eight million, two hundred forty", and thus it is an aban number.