Search a number
-
+
1268406 = 23383283
BaseRepresentation
bin100110101101010110110
32101102221000
410311222312
5311042111
643104130
713531656
oct4655266
92342830
101268406
11796a77
12512046
13355449
14250366
151a0c56
hex135ab6

1268406 has 32 divisors (see below), whose sum is σ = 2862720. Its totient is φ = 416232.

The previous prime is 1268369. The next prime is 1268413. The reversal of 1268406 is 6048621.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1268406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4341 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

21268406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431360).

1268406 is an abundant number, since it is smaller than the sum of its proper divisors (1594314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1268406 is a wasteful number, since it uses less digits than its factorization.

1268406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1268406 is about 1126.2353217689. The cubic root of 1268406 is about 108.2478873904.

The spelling of 1268406 in words is "one million, two hundred sixty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 283 498 566 747 849 1494 1698 2241 2547 4482 5094 7641 15282 23489 46978 70467 140934 211401 422802 634203 1268406