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8040305520 = 24325136712821
BaseRepresentation
bin1110111110011110…
…10101001101110000
3202202100020211200100
413133033111031300
5112431304234040
63405455352400
7403150316652
oct73717251560
922670224610
108040305520
1134565a75a5
121684822700
139b19b5a40
14563b9a6d2
15320d0cb30
hex1df3d5370

8040305520 has 240 divisors, whose sum is σ = 29515423392. Its totient is φ = 1949460480.

The previous prime is 8040305519. The next prime is 8040305527. The reversal of 8040305520 is 255030408.

8040305520 is a `hidden beast` number, since 80 + 4 + 0 + 30 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×80403055203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040305527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620710 + ... + 633530.

Almost surely, 28040305520 is an apocalyptic number.

8040305520 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 8040305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757711696).

8040305520 is an abundant number, since it is smaller than the sum of its proper divisors (21475117872).

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

8040305520 is a wasteful number, since it uses less digits than its factorization.

8040305520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8040305520 is about 89667.7507245498. The cubic root of 8040305520 is about 2003.3531683226.

Adding to 8040305520 its reverse (255030408), we get a palindrome (8295335928).

The spelling of 8040305520 in words is "eight billion, forty million, three hundred five thousand, five hundred twenty".