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8066154240 = 283251514637
BaseRepresentation
bin1111000001100011…
…11011111100000000
3202211010220002110100
413200301323330000
5113004413413430
63412221402400
7403613115444
oct74061737400
922733802410
108066154240
11346a152081
121691409400
139b7166341
145673a8824
15323216960
hex1e0c7bf00

8066154240 has 216 divisors, whose sum is σ = 28098933408. Its totient is φ = 2136268800.

The previous prime is 8066154181. The next prime is 8066154247. The reversal of 8066154240 is 424516608.

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 = 8066154195 and 8066154204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066154247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737202 + ... + 1741838.

Almost surely, 28066154240 is an apocalyptic number.

8066154240 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 8066154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049466704).

8066154240 is an abundant number, since it is smaller than the sum of its proper divisors (20032779168).

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

8066154240 is a wasteful number, since it uses less digits than its factorization.

8066154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8066154240 is about 89811.7711661450. The cubic root of 8066154240 is about 2005.4977269849.

The spelling of 8066154240 in words is "eight billion, sixty-six million, one hundred fifty-four thousand, two hundred forty".