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1293885 = 32528753
BaseRepresentation
bin100111011111000111101
32102201212200
410323320331
5312401020
643422113
713666155
oct4737075
92381780
101293885
1180412a
12524939
13363c18
14259765
151a8590
hex13be3d

1293885 has 12 divisors (see below), whose sum is σ = 2242812. Its totient is φ = 690048.

The previous prime is 1293869. The next prime is 1293899. The reversal of 1293885 is 5883921.

It can be written as a sum of positive squares in 2 ways, for example, as 881721 + 412164 = 939^2 + 642^2 .

It is not a de Polignac number, because 1293885 - 24 = 1293869 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

1293885 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14332 + ... + 14421.

It is an arithmetic number, because the mean of its divisors is an integer number (186901).

21293885 is an apocalyptic number.

1293885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1293885 is a deficient number, since it is larger than the sum of its proper divisors (948927).

1293885 is a wasteful number, since it uses less digits than its factorization.

1293885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28764 (or 28761 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1293885 is about 1137.4906593023. The cubic root of 1293885 is about 108.9678944806.

Adding to 1293885 its sum of digits (36), we get a palindrome (1293921).

The spelling of 1293885 in words is "one million, two hundred ninety-three thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 45 28753 86259 143765 258777 431295 1293885