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10006002 = 232587947
BaseRepresentation
bin100110001010…
…110111110010
3200211100122200
4212022313302
510030143002
6554244030
7151023006
oct46126762
920740580
1010006002
115714726
123426616
1320c4516
141486706
15d29b1c
hex98adf2

10006002 has 24 divisors (see below), whose sum is σ = 21739536. Its totient is φ = 3326136.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006002 is 20060001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10006001) 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 11 ways as a sum of consecutive naturals, for example, 10093 + ... + 11039.

It is an arithmetic number, because the mean of its divisors is an integer number (905814).

Almost surely, 210006002 is an apocalyptic number.

10006002 is an abundant number, since it is smaller than the sum of its proper divisors (11733534).

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

10006002 is a wasteful number, since it uses less digits than its factorization.

10006002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10006002 is about 3163.2265173395. The cubic root of 10006002 is about 215.4865634393.

Adding to 10006002 its reverse (20060001), we get a palindrome (30066003).

The spelling of 10006002 in words is "ten million, six thousand, two".

Divisors: 1 2 3 6 9 18 587 947 1174 1761 1894 2841 3522 5283 5682 8523 10566 17046 555889 1111778 1667667 3335334 5003001 10006002