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10368416 = 25457709
BaseRepresentation
bin100111100011…
…010110100000
3201111202210102
4213203112200
510123242131
61010121532
7154062422
oct47432640
921452712
1010368416
115941a43
1235802a8
1321c0476
14153c812
15d9c1cb
hex9e35a0

10368416 has 24 divisors (see below), whose sum is σ = 20486340. Its totient is φ = 5165568.

The previous prime is 10368403. The next prime is 10368439. The reversal of 10368416 is 61486301.

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 16 = 3220^2 + 4^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14270 + ... + 14978.

Almost surely, 210368416 is an apocalyptic number.

10368416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10368416 is a deficient number, since it is larger than the sum of its proper divisors (10117924).

10368416 is an equidigital number, since it uses as much as digits as its factorization.

10368416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 10368416 is about 3220.0024844711. The cubic root of 10368416 is about 218.0573874672.

It can be divided in two parts, 103684 and 16, that multiplied together give a square (1658944 = 12882).

The spelling of 10368416 in words is "ten million, three hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 457 709 914 1418 1828 2836 3656 5672 7312 11344 14624 22688 324013 648026 1296052 2592104 5184208 10368416