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8372106 = 233197787
BaseRepresentation
bin11111111011111110001010
3120202100101000
4133323332022
54120401411
6455235430
7131106321
oct37737612
916670330
108372106
1147a90a6
122978b76
131971912
14117d0b8
15b05956
hex7fbf8a

8372106 has 32 divisors (see below), whose sum is σ = 18722880. Its totient is φ = 2773008.

The previous prime is 8372083. The next prime is 8372137. The reversal of 8372106 is 6012738.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8372106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10245 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (585090).

Almost surely, 28372106 is an apocalyptic number.

8372106 is an abundant number, since it is smaller than the sum of its proper divisors (10350774).

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

8372106 is a wasteful number, since it uses less digits than its factorization.

8372106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8372106 is about 2893.4591754507. The cubic root of 8372106 is about 203.0540110435.

8372106 divided by its sum of digits (27) gives a triangular number (310078 = T787).

The spelling of 8372106 in words is "eight million, three hundred seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 197 394 591 787 1182 1574 1773 2361 3546 4722 5319 7083 10638 14166 21249 42498 155039 310078 465117 930234 1395351 2790702 4186053 8372106