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1268928 = 26322203
BaseRepresentation
bin100110101110011000000
32101110122100
410311303000
5311101203
643110400
713533333
oct4656300
92343570
101268928
11797401
12512400
1335575b
1425061a
151a0ea3
hex135cc0

1268928 has 42 divisors (see below), whose sum is σ = 3638804. Its totient is φ = 422784.

The previous prime is 1268921. The next prime is 1268929. The reversal of 1268928 is 8298621.

It is a super-2 number, since 2×12689282 = 3220356538368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1268892 and 1268901.

It is not an unprimeable number, because it can be changed into a prime (1268921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 526 + ... + 1677.

21268928 is an apocalyptic number.

1268928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1268928 is an abundant number, since it is smaller than the sum of its proper divisors (2369876).

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

1268928 is a wasteful number, since it uses less digits than its factorization.

1268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2208 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1268928 is about 1126.4670434593. The cubic root of 1268928 is about 108.2627348045.

The spelling of 1268928 in words is "one million, two hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2203 4406 6609 8812 13218 17624 19827 26436 35248 39654 52872 70496 79308 105744 140992 158616 211488 317232 422976 634464 1268928