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8130260160 = 2632511271947
BaseRepresentation
bin1111001001001100…
…11110110011000000
3202222121112000020200
413210212132303000
5113122321311120
63422431405200
7405322033251
oct74446366300
922877460220
108130260160
1134a2357880
1216aa983800
139c7520139
14571ad4b28
15328b7ae90
hex1e499ecc0

8130260160 has 336 divisors, whose sum is σ = 30651858432. Its totient is φ = 1961625600.

The previous prime is 8130260153. The next prime is 8130260161. The reversal of 8130260160 is 610620318.

It is a super-2 number, since 2×81302601602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8130260161) 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, 8584807 + ... + 8585753.

Almost surely, 28130260160 is an apocalyptic number.

8130260160 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 8130260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325929216).

8130260160 is an abundant number, since it is smaller than the sum of its proper divisors (22521598272).

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

8130260160 is a wasteful number, since it uses less digits than its factorization.

8130260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8130260160 is about 90167.9552834598. The cubic root of 8130260160 is about 2010.7966249011.

Adding to 8130260160 its reverse (610620318), we get a palindrome (8740880478).

The spelling of 8130260160 in words is "eight billion, one hundred thirty million, two hundred sixty thousand, one hundred sixty".