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8066088 = 2333107349
BaseRepresentation
bin11110110001010000101000
3120011210121000
4132301100220
54031103323
6444515000
7125363202
oct36612050
916153530
108066088
11460a198
12284ba60
131895544
1410dd772
15a94e43
hex7b1428

8066088 has 64 divisors (see below), whose sum is σ = 22680000. Its totient is φ = 2655936.

The previous prime is 8066087. The next prime is 8066099. The reversal of 8066088 is 8806608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8066083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22938 + ... + 23286.

It is an arithmetic number, because the mean of its divisors is an integer number (354375).

Almost surely, 28066088 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 8066088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340000).

8066088 is an abundant number, since it is smaller than the sum of its proper divisors (14613912).

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

8066088 is a wasteful number, since it uses less digits than its factorization.

8066088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8066088 is about 2840.0859141934. The cubic root of 8066088 is about 200.5492237193.

The spelling of 8066088 in words is "eight million, sixty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 349 428 642 698 856 963 1047 1284 1396 1926 2094 2568 2792 2889 3141 3852 4188 5778 6282 7704 8376 9423 11556 12564 18846 23112 25128 37343 37692 74686 75384 112029 149372 224058 298744 336087 448116 672174 896232 1008261 1344348 2016522 2688696 4033044 8066088