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10427216 = 242332797
BaseRepresentation
bin100111110001…
…101101010000
3201121202110012
4213301231100
510132132331
61011254052
7154426022
oct47615520
921552405
1010427216
115982138
1235aa328
132211167
141556012
15dae82b
hex9f1b50

10427216 has 20 divisors (see below), whose sum is σ = 20296692. Its totient is φ = 5189376.

The previous prime is 10427213. The next prime is 10427227. The reversal of 10427216 is 61272401.

10427216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4857616 + 5569600 = 2204^2 + 2360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10427191 and 10427200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2330 + ... + 5126.

Almost surely, 210427216 is an apocalyptic number.

10427216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10427216 is a deficient number, since it is larger than the sum of its proper divisors (9869476).

10427216 is a wasteful number, since it uses less digits than its factorization.

10427216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10427216 is about 3229.1200039639. The cubic root of 10427216 is about 218.4688168420.

Adding to 10427216 its reverse (61272401), we get a palindrome (71699617).

The spelling of 10427216 in words is "ten million, four hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 233 466 932 1864 2797 3728 5594 11188 22376 44752 651701 1303402 2606804 5213608 10427216