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7230263040 = 2833571121319
BaseRepresentation
bin1101011101111010…
…10000111100000000
3200122220000102022000
412232331100330000
5104301421404130
63153241344000
7344113136040
oct65675207400
920586012260
107230263040
113080327700
121499498000
138b2c27b70
144c8379720
152c4b50260
hex1aef50f00

7230263040 has 1728 divisors, whose sum is σ = 36536908800. Its totient is φ = 1313832960.

The previous prime is 7230263017. The next prime is 7230263069. The reversal of 7230263040 is 403620327.

7230263040 is a `hidden beast` number, since 7 + 23 + 0 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 7230262995 and 7230263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540151 + ... + 380540169.

Almost surely, 27230263040 is an apocalyptic number.

7230263040 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 7230263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268454400).

7230263040 is an abundant number, since it is smaller than the sum of its proper divisors (29306645760).

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

7230263040 is a wasteful number, since it uses less digits than its factorization.

7230263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 7230263040 is about 85030.9534228565. The cubic root of 7230263040 is about 1933.6804175376.

Adding to 7230263040 its reverse (403620327), we get a palindrome (7633883367).

The spelling of 7230263040 in words is "seven billion, two hundred thirty million, two hundred sixty-three thousand, forty".