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10673633 = 23220177
BaseRepresentation
bin101000101101…
…110111100001
3202002021110202
4220231313201
510213024013
61020434545
7156503315
oct50556741
922067422
1010673633
116030293
1236a8a55
132299379
1415bbb45
15e0c858
hexa2dde1

10673633 has 6 divisors (see below), whose sum is σ = 11158434. Its totient is φ = 10209056.

The previous prime is 10673629. The next prime is 10673659. The reversal of 10673633 is 33637601.

It can be written as a sum of positive squares in only one way, i.e., 9784384 + 889249 = 3128^2 + 943^2 .

It is not a de Polignac number, because 10673633 - 22 = 10673629 is a prime.

It is a super-2 number, since 2×106736332 = 227852882837378, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10673596 and 10673605.

It is not an unprimeable number, because it can be changed into a prime (10673623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9560 + ... + 10617.

It is an arithmetic number, because the mean of its divisors is an integer number (1859739).

Almost surely, 210673633 is an apocalyptic number.

It is an amenable number.

10673633 is a deficient number, since it is larger than the sum of its proper divisors (484801).

10673633 is an equidigital number, since it uses as much as digits as its factorization.

10673633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 10673633 is about 3267.0526472648. The cubic root of 10673633 is about 220.1763943432.

The spelling of 10673633 in words is "ten million, six hundred seventy-three thousand, six hundred thirty-three".

Divisors: 1 23 529 20177 464071 10673633