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10644216 = 23311231753
BaseRepresentation
bin101000100110…
…101011111000
3202000210010020
4220212223320
510211103331
61020050440
7156321462
oct50465370
922023106
1010644216
116010180
123693a20
132288b6b
1415b1132
15e03c96
hexa26af8

10644216 has 64 divisors (see below), whose sum is σ = 30309120. Its totient is φ = 3083520.

The previous prime is 10644211. The next prime is 10644229. The reversal of 10644216 is 61244601.

10644216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106442162 = 226598668509312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5196 + ... + 6948.

It is an arithmetic number, because the mean of its divisors is an integer number (473580).

Almost surely, 210644216 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 10644216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154560).

10644216 is an abundant number, since it is smaller than the sum of its proper divisors (19664904).

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

10644216 is a wasteful number, since it uses less digits than its factorization.

10644216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10644216 is about 3262.5474709190. The cubic root of 10644216 is about 219.9739363063.

Adding to 10644216 its reverse (61244601), we get a palindrome (71888817).

The spelling of 10644216 in words is "ten million, six hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1753 2024 3036 3506 5259 6072 7012 10518 14024 19283 21036 38566 40319 42072 57849 77132 80638 115698 120957 154264 161276 231396 241914 322552 443509 462792 483828 887018 967656 1330527 1774036 2661054 3548072 5322108 10644216