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8132076 = 2234191321
BaseRepresentation
bin11111000001010111101100
3120022011010000
4133001113230
54040211301
6450144300
7126056451
oct37012754
916264100
108132076
114654827
122882090
1318b95a4
141119828
15aa9786
hex7c15ec

8132076 has 60 divisors (see below), whose sum is σ = 22394680. Its totient is φ = 2566080.

The previous prime is 8132051. The next prime is 8132077. The reversal of 8132076 is 6702318.

It is a super-3 number, since 3×81320763 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8132077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5496 + ... + 6816.

Almost surely, 28132076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197340).

8132076 is an abundant number, since it is smaller than the sum of its proper divisors (14262604).

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

8132076 is a wasteful number, since it uses less digits than its factorization.

8132076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8132076 is about 2851.6795051338. The cubic root of 8132076 is about 201.0946313147.

The spelling of 8132076 in words is "eight million, one hundred thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1321 1539 2052 2642 3078 3963 5284 6156 7926 11889 15852 23778 25099 35667 47556 50198 71334 75297 100396 107001 142668 150594 214002 225891 301188 428004 451782 677673 903564 1355346 2033019 2710692 4066038 8132076