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7242130896 = 24371113197933
BaseRepresentation
bin1101011111010101…
…00010010111010000
3200200201100100221020
412233222202113100
5104312441142041
63154343555440
7344316045150
oct65752422720
920621310836
107242130896
113086aa3150
1214a145bb80
138b5521970
144c9b88760
152c5be6866
hex1afaa25d0

7242130896 has 320 divisors, whose sum is σ = 26444974080. Its totient is φ = 1644779520.

The previous prime is 7242130891. The next prime is 7242130901. The reversal of 7242130896 is 6980312427.

It is an interprime number because it is at equal distance from previous prime (7242130891) and next prime (7242130901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7242130891) 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 63 ways as a sum of consecutive naturals, for example, 908946 + ... + 916878.

It is an arithmetic number, because the mean of its divisors is an integer number (82640544).

Almost surely, 27242130896 is an apocalyptic number.

7242130896 is a gapful number since it is divisible by the number (76) 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 7242130896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222487040).

7242130896 is an abundant number, since it is smaller than the sum of its proper divisors (19202843184).

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

7242130896 is a wasteful number, since it uses less digits than its factorization.

7242130896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 7242130896 is about 85100.7103143094. The cubic root of 7242130896 is about 1934.7378293256.

The spelling of 7242130896 in words is "seven billion, two hundred forty-two million, one hundred thirty thousand, eight hundred ninety-six".