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1416393 = 331119251
BaseRepresentation
bin101011001110011001001
32122221221000
411121303021
5330311033
650205213
715016266
oct5316311
92587830
101416393
11888180
12583809
133a7904
1428c26d
151cea13
hex159cc9

1416393 has 32 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 810000.

The previous prime is 1416341. The next prime is 1416433. The reversal of 1416393 is 3936141.

It is not a de Polignac number, because 1416393 - 26 = 1416329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1416293) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5518 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

21416393 is an apocalyptic number.

1416393 is the 753-rd heptagonal number.

It is an amenable number.

1416393 is a deficient number, since it is larger than the sum of its proper divisors (1002807).

1416393 is a wasteful number, since it uses less digits than its factorization.

1416393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1416393 is about 1190.1231028763. The cubic root of 1416393 is about 112.3038359291.

The spelling of 1416393 in words is "one million, four hundred sixteen thousand, three hundred ninety-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 251 297 513 627 753 1881 2259 2761 4769 5643 6777 8283 14307 24849 42921 52459 74547 128763 157377 472131 1416393