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8080554240 = 283251131731
BaseRepresentation
bin1111000011010001…
…10111100100000000
3202212010222200112200
413201220313210000
5113022110213430
63413454153200
7404146402113
oct74150674400
922763880480
108080554240
113477298000
1216961b2800
139ba138855
1456927657a
1532460d460
hex1e1a37900

8080554240 has 864 divisors, whose sum is σ = 33610816512. Its totient is φ = 1784217600.

The previous prime is 8080554203. The next prime is 8080554247. The reversal of 8080554240 is 424550808.

8080554240 is a `hidden beast` number, since 8 + 0 + 80 + 554 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8080554195 and 8080554204.

It is not an unprimeable number, because it can be changed into a prime (8080554247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260663025 + ... + 260663055.

It is an arithmetic number, because the mean of its divisors is an integer number (38901408).

Almost surely, 28080554240 is an apocalyptic number.

8080554240 is a gapful number since it is divisible by the number (80) 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 8080554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805408256).

8080554240 is an abundant number, since it is smaller than the sum of its proper divisors (25530262272).

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

8080554240 is a wasteful number, since it uses less digits than its factorization.

8080554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 8080554240 is about 89891.9030836482. The cubic root of 8080554240 is about 2006.6904473340.

The spelling of 8080554240 in words is "eight billion, eighty million, five hundred fifty-four thousand, two hundred forty".