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8122016 = 257101359
BaseRepresentation
bin11110111110111010100000
3120021122022102
4132332322200
54034401031
6450025532
7126015230
oct36767240
916248272
108122016
114648211
1228782a8
1318b4b36
141115cc0
15aa67cb
hex7beea0

8122016 has 48 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 3436800.

The previous prime is 8122007. The next prime is 8122021. The reversal of 8122016 is 6102218.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22445 + ... + 22803.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 28122016 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 8122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

8122016 is an abundant number, since it is smaller than the sum of its proper divisors (10384864).

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

8122016 is a wasteful number, since it uses less digits than its factorization.

8122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8122016 is about 2849.9150864543. The cubic root of 8122016 is about 201.0116739505.

The spelling of 8122016 in words is "eight million, one hundred twenty-two thousand, sixteen".