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1268496 = 243223383
BaseRepresentation
bin100110101101100010000
32101110001100
410311230100
5311042441
643104400
713532145
oct4655420
92343040
101268496
11797049
12512100
133554b8
142503cc
151a0cb6
hex135b10

1268496 has 60 divisors (see below), whose sum is σ = 3714048. Its totient is φ = 403392.

The previous prime is 1268479. The next prime is 1268537. The reversal of 1268496 is 6948621.

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 self number, because there is not a number n which added to its sum of digits gives 1268496.

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, 3121 + ... + 3503.

21268496 is an apocalyptic number.

1268496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024).

1268496 is an abundant number, since it is smaller than the sum of its proper divisors (2445552).

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

1268496 is a wasteful number, since it uses less digits than its factorization.

1268496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1268496 is about 1126.2752771858. The cubic root of 1268496 is about 108.2504475800.

It can be divided in two parts, 1268 and 496, that added together give a square (1764 = 422).

The spelling of 1268496 in words is "one million, two hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 383 414 552 766 828 1104 1149 1532 1656 2298 3064 3312 3447 4596 6128 6894 8809 9192 13788 17618 18384 26427 27576 35236 52854 55152 70472 79281 105708 140944 158562 211416 317124 422832 634248 1268496