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80906166 = 232114307
BaseRepresentation
bin1001101001010…
…00011110110110
312122020110101200
410310220132312
5131202444131
612010033330
72001456015
oct464503666
9178213350
1080906166
1141740000
1223118846
13139b9993
14aa60a7c
1571822e6
hex4d287b6

80906166 has 60 divisors (see below), whose sum is σ = 193453260. Its totient is φ = 24437160.

The previous prime is 80906113. The next prime is 80906167. The reversal of 80906166 is 66160908.

It is a self number, because there is not a number n which added to its sum of digits gives 80906166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80906167) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 263385 + ... + 263691.

It is an arithmetic number, because the mean of its divisors is an integer number (3224221).

Almost surely, 280906166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80906166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96726630).

80906166 is an abundant number, since it is smaller than the sum of its proper divisors (112547094).

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

80906166 is a wasteful number, since it uses less digits than its factorization.

80906166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 80906166 is about 8994.7854893822. The cubic root of 80906166 is about 432.5077299341.

The spelling of 80906166 in words is "eighty million, nine hundred six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 307 363 614 726 921 1089 1331 1842 2178 2662 2763 3377 3993 5526 6754 7986 10131 11979 14641 20262 23958 29282 30393 37147 43923 60786 74294 87846 111441 131769 222882 263538 334323 408617 668646 817234 1225851 2451702 3677553 4494787 7355106 8989574 13484361 26968722 40453083 80906166