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10486736 = 241350417
BaseRepresentation
bin101000000000…
…001111010000
3201201210002122
4220000033100
510141033421
61012433412
7155064401
oct50001720
921653078
1010486736
115a12927
123618868
132232290
14156d9a8
15dc22ab
hexa003d0

10486736 has 20 divisors (see below), whose sum is σ = 21881412. Its totient is φ = 4839936.

The previous prime is 10486733. The next prime is 10486753. The reversal of 10486736 is 63768401.

It can be written as a sum of positive squares in 2 ways, for example, as 2421136 + 8065600 = 1556^2 + 2840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10486696 and 10486705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25001 + ... + 25416.

Almost surely, 210486736 is an apocalyptic number.

10486736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10486736 is an abundant number, since it is smaller than the sum of its proper divisors (11394676).

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

10486736 is a wasteful number, since it uses less digits than its factorization.

10486736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50438 (or 50432 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 10486736 is about 3238.3230228005. The cubic root of 10486736 is about 218.8837118840.

The spelling of 10486736 in words is "ten million, four hundred eighty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 50417 100834 201668 403336 655421 806672 1310842 2621684 5243368 10486736