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10016512 = 28113557
BaseRepresentation
bin100110001101…
…011100000000
3200211220001221
4212031130000
510031012022
6554404424
7151065442
oct46153400
920756057
1010016512
115721610
123430714
1320c923c
14148a492
15d2ccc7
hex98d700

10016512 has 36 divisors (see below), whose sum is σ = 21817656. Its totient is φ = 4551680.

The previous prime is 10016509. The next prime is 10016521. The reversal of 10016512 is 21561001.

It is a happy number.

It is a super-2 number, since 2×100165122 = 200661025292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1038 + ... + 4594.

It is an arithmetic number, because the mean of its divisors is an integer number (606046).

Almost surely, 210016512 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 10016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908828).

10016512 is an abundant number, since it is smaller than the sum of its proper divisors (11801144).

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

10016512 is an equidigital number, since it uses as much as digits as its factorization.

10016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10016512 is about 3164.8873597650. The cubic root of 10016512 is about 215.5619838819.

Adding to 10016512 its reverse (21561001), we get a palindrome (31577513).

The spelling of 10016512 in words is "ten million, sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3557 7114 14228 28456 39127 56912 78254 113824 156508 227648 313016 455296 626032 910592 1252064 2504128 5008256 10016512