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8135000280 = 233251173107263
BaseRepresentation
bin1111001001110001…
…00100000011011000
3202222221102211110200
413210320210003120
5113130030002110
63423121142200
7405410234661
oct74470440330
922887384420
108135000280
1134a4aa5130
1216b048a960
139c84bc844
145725aa368
153292b56c0
hex1e4e240d8

8135000280 has 384 divisors, whose sum is σ = 29622827520. Its totient is φ = 1919600640.

The previous prime is 8135000243. The next prime is 8135000297. The reversal of 8135000280 is 820005318.

It is a happy number.

8135000280 is a `hidden beast` number, since 81 + 3 + 500 + 0 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30931429 + ... + 30931691.

It is an arithmetic number, because the mean of its divisors is an integer number (77142780).

Almost surely, 28135000280 is an apocalyptic number.

8135000280 is the 52074-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135000280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811413760).

8135000280 is an abundant number, since it is smaller than the sum of its proper divisors (21487827240).

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

8135000280 is a wasteful number, since it uses less digits than its factorization.

8135000280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8135000280 is about 90194.2364012247. The cubic root of 8135000280 is about 2011.1873284935.

Adding to 8135000280 its reverse (820005318), we get a palindrome (8955005598).

The spelling of 8135000280 in words is "eight billion, one hundred thirty-five million, two hundred eighty", and thus it is an aban number.