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10026216 = 23321311063
BaseRepresentation
bin100110001111…
…110011101000
3200212101101100
4212033303220
510031314331
6554521400
7151135644
oct46176350
920771340
1010026216
115728932
123436260
132100795
14148dc24
15d30ae6
hex98fce8

10026216 has 48 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 3313440.

The previous prime is 10026197. The next prime is 10026239. The reversal of 10026216 is 61262001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 8901 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 210026216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

10026216 is an abundant number, since it is smaller than the sum of its proper divisors (17361144).

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

10026216 is a wasteful number, since it uses less digits than its factorization.

10026216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10026216 is about 3166.4200605731. The cubic root of 10026216 is about 215.6315735866.

Adding to 10026216 its reverse (61262001), we get a palindrome (71288217).

The spelling of 10026216 in words is "ten million, twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1063 1179 1572 2126 2358 3144 3189 4252 4716 6378 8504 9432 9567 12756 19134 25512 38268 76536 139253 278506 417759 557012 835518 1114024 1253277 1671036 2506554 3342072 5013108 10026216