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10016416 = 25893517
BaseRepresentation
bin100110001101…
…011010100000
3200211212221101
4212031122200
510031011131
6554404144
7151065244
oct46153240
920755841
1010016416
115721533
123430654
1320c9197
14148a424
15d2cc61
hex98d6a0

10016416 has 24 divisors (see below), whose sum is σ = 19947060. Its totient is φ = 4950528.

The previous prime is 10016411. The next prime is 10016429. The reversal of 10016416 is 61461001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9859600 + 156816 = 3140^2 + 396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10016393 and 10016402.

It is not an unprimeable number, because it can be changed into a prime (10016411) 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, 1090 + ... + 4606.

Almost surely, 210016416 is an apocalyptic number.

10016416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10016416 is a deficient number, since it is larger than the sum of its proper divisors (9930644).

10016416 is an equidigital number, since it uses as much as digits as its factorization.

10016416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10016416 is about 3164.8721933121. The cubic root of 10016416 is about 215.5612952184.

Adding to 10016416 its reverse (61461001), we get a palindrome (71477417).

The spelling of 10016416 in words is "ten million, sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 89 178 356 712 1424 2848 3517 7034 14068 28136 56272 112544 313013 626026 1252052 2504104 5008208 10016416