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8982006 = 2311236197
BaseRepresentation
bin100010010000…
…110111110110
3121220022222220
4202100313312
54244411011
6520303210
7136226415
oct42206766
917808886
108982006
115085350
123011b06
131b263c7
14129b47c
15bc6506
hex890df6

8982006 has 64 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 2534400.

The previous prime is 8981989. The next prime is 8982007. The reversal of 8982006 is 6002898.

8982006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8982007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92550 + ... + 92646.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 28982006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8982006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

8982006 is an abundant number, since it is smaller than the sum of its proper divisors (12016650).

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

8982006 is a wasteful number, since it uses less digits than its factorization.

8982006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8982006 is about 2996.9994994995. Note that the first 3 decimals coincide. The cubic root of 8982006 is about 207.8696637851.

The spelling of 8982006 in words is "eight million, nine hundred eighty-two thousand, six".

Divisors: 1 2 3 6 11 22 23 33 46 61 66 69 97 122 138 183 194 253 291 366 506 582 671 759 1067 1342 1403 1518 2013 2134 2231 2806 3201 4026 4209 4462 5917 6402 6693 8418 11834 13386 15433 17751 24541 30866 35502 46299 49082 65087 73623 92598 130174 136091 147246 195261 272182 390522 408273 816546 1497001 2994002 4491003 8982006