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10632733 is a prime number
BaseRepresentation
bin101000100011…
…111000011101
3202000012100221
4220203320131
510210221413
61015521341
7156243136
oct50437035
922005327
1010632733
116002591
123689251
132283877
1415aac8d
15e0068d
hexa23e1d

10632733 has 2 divisors, whose sum is σ = 10632734. Its totient is φ = 10632732.

The previous prime is 10632719. The next prime is 10632749. The reversal of 10632733 is 33723601.

10632733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9504889 + 1127844 = 3083^2 + 1062^2 .

It is an emirp because it is prime and its reverse (33723601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10632733 is a prime.

It is a super-2 number, since 2×106327332 = 226110022098578, which contains 22 as substring.

It is equal to p703807 and since 10632733 and 703807 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10632698 and 10632707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10632133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5316366 + 5316367.

It is an arithmetic number, because the mean of its divisors is an integer number (5316367).

Almost surely, 210632733 is an apocalyptic number.

It is an amenable number.

10632733 is a deficient number, since it is larger than the sum of its proper divisors (1).

10632733 is an equidigital number, since it uses as much as digits as its factorization.

10632733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 10632733 is about 3260.7871749012. The cubic root of 10632733 is about 219.8948050800.

The spelling of 10632733 in words is "ten million, six hundred thirty-two thousand, seven hundred thirty-three".