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10534016 = 271747103
BaseRepresentation
bin101000001011…
…110010000000
3201211011221202
4220023302000
510144042031
61013440332
7155352263
oct50136200
921734852
1010534016
115a453a9
1236400a8
13224a95c
141582cda
15dd12cb
hexa0bc80

10534016 has 64 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 4804608.

The previous prime is 10534003. The next prime is 10534021. The reversal of 10534016 is 61043501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105340162 = 221930986176512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102221 + ... + 102323.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 210534016 is an apocalyptic number.

10534016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

10534016 is an abundant number, since it is smaller than the sum of its proper divisors (12379264).

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

10534016 is a wasteful number, since it uses less digits than its factorization.

10534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10534016 is about 3245.6148878140. The cubic root of 10534016 is about 219.2121683266.

Adding to 10534016 its reverse (61043501), we get a palindrome (71577517).

The spelling of 10534016 in words is "ten million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 103 128 136 188 206 272 376 412 544 752 799 824 1088 1504 1598 1648 1751 2176 3008 3196 3296 3502 4841 6016 6392 6592 7004 9682 12784 13184 14008 19364 25568 28016 38728 51136 56032 77456 82297 102272 112064 154912 164594 224128 309824 329188 619648 658376 1316752 2633504 5267008 10534016