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10006216 = 2311210337
BaseRepresentation
bin100110001010…
…111011001000
3200211100221121
4212022323020
510030144331
6554245024
7151023433
oct46127310
920740847
1010006216
115714900
123426774
1320c464c
14148681a
15d29c11
hex98aec8

10006216 has 24 divisors (see below), whose sum is σ = 20624310. Its totient is φ = 4547840.

The previous prime is 10006207. The next prime is 10006261. The reversal of 10006216 is 61260001.

It can be written as a sum of positive squares in only one way, i.e., 9897316 + 108900 = 3146^2 + 330^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10006216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4201 + ... + 6136.

Almost surely, 210006216 is an apocalyptic number.

It is an amenable number.

10006216 is an abundant number, since it is smaller than the sum of its proper divisors (10618094).

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

10006216 is a wasteful number, since it uses less digits than its factorization.

10006216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10006216 is about 3163.2603433799. The cubic root of 10006216 is about 215.4880996438.

Adding to 10006216 its reverse (61260001), we get a palindrome (71266217).

The spelling of 10006216 in words is "ten million, six thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 10337 20674 41348 82696 113707 227414 454828 909656 1250777 2501554 5003108 10006216