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8002107 = 32889123
BaseRepresentation
bin11110100001101000111011
3120001112211100
4132201220323
54022031412
6443302443
7125005521
oct36415073
916045740
108002107
114576113
12281aa23
131872399
1410c4311
15a80edc
hex7a1a3b

8002107 has 6 divisors (see below), whose sum is σ = 11558612. Its totient is φ = 5334732.

The previous prime is 8002103. The next prime is 8002117. The reversal of 8002107 is 7012008.

It is not a de Polignac number, because 8002107 - 22 = 8002103 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8002107.

It is not an unprimeable number, because it can be changed into a prime (8002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444553 + ... + 444570.

Almost surely, 28002107 is an apocalyptic number.

8002107 is a deficient number, since it is larger than the sum of its proper divisors (3556505).

8002107 is a wasteful number, since it uses less digits than its factorization.

8002107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889129 (or 889126 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 8002107 is about 2828.7995687217. The cubic root of 8002107 is about 200.0175567921.

Subtracting from 8002107 its reverse (7012008), we obtain a palindrome (990099).

The spelling of 8002107 in words is "eight million, two thousand, one hundred seven".

Divisors: 1 3 9 889123 2667369 8002107