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10419 = 323151
BaseRepresentation
bin10100010110011
3112021220
42202303
5313134
6120123
742243
oct24263
915256
1010419
117912
126043
134986
143b23
153149
hex28b3

10419 has 8 divisors (see below), whose sum is σ = 14592. Its totient is φ = 6600.

The previous prime is 10399. The next prime is 10427. The reversal of 10419 is 91401.

10419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10419 - 28 = 10163 is a prime.

It is a super-2 number, since 2×104192 = 217111122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 10398 and 10407.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10419.

It is not an unprimeable number, because it can be changed into a prime (10429) 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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

210419 is an apocalyptic number.

10419 is a deficient number, since it is larger than the sum of its proper divisors (4173).

10419 is a wasteful number, since it uses less digits than its factorization.

10419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10419 is about 102.0735029280. The cubic root of 10419 is about 21.8411421802.

Subtracting from 10419 its sum of digits (15), we obtain a square (10404 = 1022).

The spelling of 10419 in words is "ten thousand, four hundred nineteen".

Divisors: 1 3 23 69 151 453 3473 10419