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7040120832 = 2113431372
BaseRepresentation
bin1101000111001111…
…11011100000000000
3200011122020012020000
412203213323200000
5103404232331312
63122330120000
7336314016423
oct64347734000
920148205200
107040120832
112a92a67a88
121445880000
13882712794
144ab0019ba
152b30e1adc
hex1a39fb800

7040120832 has 360 divisors, whose sum is σ = 22309166880. Its totient is φ = 2209628160.

The previous prime is 7040120831. The next prime is 7040120849. The reversal of 7040120832 is 2380210407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7040120796 and 7040120805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7040120831) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 190273518 + ... + 190273554.

It is an arithmetic number, because the mean of its divisors is an integer number (61969908).

Almost surely, 27040120832 is an apocalyptic number.

7040120832 is a gapful number since it is divisible by the number (72) 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 7040120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154583440).

7040120832 is an abundant number, since it is smaller than the sum of its proper divisors (15269046048).

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

7040120832 is an equidigital number, since it uses as much as digits as its factorization.

7040120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 73 counting only the distinct ones).

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

The square root of 7040120832 is about 83905.4279054699. The cubic root of 7040120832 is about 1916.5789078541.

The spelling of 7040120832 in words is "seven billion, forty million, one hundred twenty thousand, eight hundred thirty-two".