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8190007 = 72192463
BaseRepresentation
bin11111001111100000110111
3120102002120121
4133033200313
54044040012
6451312411
7126420400
oct37174067
916362517
108190007
114694301
1228ab707
131909a77
1411329a7
15abba07
hex7cf837

8190007 has 18 divisors (see below), whose sum is σ = 10076688. Its totient is φ = 6636168.

The previous prime is 8189999. The next prime is 8190011. The reversal of 8190007 is 7000918.

8190007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8190007 - 23 = 8189999 is a prime.

8190007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8190067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17458 + ... + 17920.

It is an arithmetic number, because the mean of its divisors is an integer number (559816).

Almost surely, 28190007 is an apocalyptic number.

8190007 is a deficient number, since it is larger than the sum of its proper divisors (1886681).

8190007 is a wasteful number, since it uses less digits than its factorization.

8190007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 8190007 is about 2861.8188272496. The cubic root of 8190007 is about 201.5710188535.

The spelling of 8190007 in words is "eight million, one hundred ninety thousand, seven".

Divisors: 1 7 19 49 133 361 463 931 2527 3241 8797 17689 22687 61579 167143 431053 1170001 8190007