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8880066 = 23213137277
BaseRepresentation
bin100001110111…
…111111000010
3121201011011100
4201313333002
54233130231
6514155230
7135323256
oct41677702
917634140
108880066
1150157a8
122b82b16
131abbba0
141272266
15ba61e6
hex877fc2

8880066 has 48 divisors (see below), whose sum is σ = 20946744. Its totient is φ = 2702592.

The previous prime is 8880029. The next prime is 8880073. The reversal of 8880066 is 6600888.

It can be written as a sum of positive squares in 4 ways, for example, as 4995225 + 3884841 = 2235^2 + 1971^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8880066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31920 + ... + 32196.

Almost surely, 28880066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8880066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473372).

8880066 is an abundant number, since it is smaller than the sum of its proper divisors (12066678).

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

8880066 is a wasteful number, since it uses less digits than its factorization.

8880066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

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

The square root of 8880066 is about 2979.9439592046. The cubic root of 8880066 is about 207.0802741239.

The spelling of 8880066 in words is "eight million, eight hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 277 411 554 822 831 1233 1662 1781 2466 2493 3562 3601 4986 5343 7202 10686 10803 16029 21606 32058 32409 37949 64818 75898 113847 227694 341541 493337 683082 986674 1480011 2960022 4440033 8880066