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11728419 = 317417179
BaseRepresentation
bin101100101111…
…011000100011
3211001212100220
4230233120203
511000302134
61055214123
7201455433
oct54573043
924055326
1011728419
11669080a
123b17343
1325784c1
1417b42c3
15106a149
hexb2f623

11728419 has 32 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 6988800.

The previous prime is 11728411. The next prime is 11728439. The reversal of 11728419 is 91482711.

11728419 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11728419 - 23 = 11728411 is a prime.

It is a super-2 number, since 2×117284192 = 275111624479122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11728419.

It is not an unprimeable number, because it can be changed into a prime (11728411) 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 31 ways as a sum of consecutive naturals, for example, 148422 + ... + 148500.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 211728419 is an apocalyptic number.

11728419 is a deficient number, since it is larger than the sum of its proper divisors (5689821).

11728419 is a wasteful number, since it uses less digits than its factorization.

11728419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its digits is 4032, while the sum is 33.

The square root of 11728419 is about 3424.6779410625. The cubic root of 11728419 is about 227.2025271139.

It can be divided in two parts, 1172 and 8419, that added together give a triangular number (9591 = T138).

The spelling of 11728419 in words is "eleven million, seven hundred twenty-eight thousand, four hundred nineteen".

Divisors: 1 3 17 41 51 71 79 123 213 237 697 1207 1343 2091 2911 3239 3621 4029 5609 8733 9717 16827 49487 55063 95353 148461 165189 229969 286059 689907 3909473 11728419