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7000007040 = 273451321747
BaseRepresentation
bin1101000010011101…
…11010000110000000
3200001211202012110000
412201032322012000
5103314000211130
63114334240000
7335316035535
oct64116720600
920054665400
107000007040
112a72359994
121434356000
13877309200
144a595cd8c
152ae81b260
hex1a13ba180

7000007040 has 960 divisors, whose sum is σ = 29271274560. Its totient is φ = 1587216384.

The previous prime is 7000006991. The next prime is 7000007051. The reversal of 7000007040 is 407000007.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 148936297 + ... + 148936343.

It is an arithmetic number, because the mean of its divisors is an integer number (30490911).

Almost surely, 27000007040 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 7000007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635637280).

7000007040 is an abundant number, since it is smaller than the sum of its proper divisors (22271267520).

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

7000007040 is a wasteful number, since it uses less digits than its factorization.

7000007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 7000007040 is about 83666.0447254440. The cubic root of 7000007040 is about 1912.9318240596.

Adding to 7000007040 its reverse (407000007), we get a palindrome (7407007047).

The spelling of 7000007040 in words is "seven billion, seven thousand, forty".