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8704420560 = 2432511331293
BaseRepresentation
bin10000001101101001…
…01110101011010000
3211110121220101020200
420012310232223100
5120311312424220
63555421535200
7425463232263
oct100664565320
924417811220
108704420560
113767467000
12182b114500
13a8946c614
145c8072cda
1535e292890
hex206d2ead0

8704420560 has 480 divisors, whose sum is σ = 33303868416. Its totient is φ = 2035123200.

The previous prime is 8704420547. The next prime is 8704420561. The reversal of 8704420560 is 650244078.

8704420560 is a `hidden beast` number, since 8 + 70 + 4 + 4 + 20 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8704420561) 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, 29707774 + ... + 29708066.

Almost surely, 28704420560 is an apocalyptic number.

8704420560 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 8704420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651934208).

8704420560 is an abundant number, since it is smaller than the sum of its proper divisors (24599447856).

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

8704420560 is a wasteful number, since it uses less digits than its factorization.

8704420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8704420560 is about 93297.4842104545. The cubic root of 8704420560 is about 2057.0584024521.

The spelling of 8704420560 in words is "eight billion, seven hundred four million, four hundred twenty thousand, five hundred sixty".