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1268920 = 23531723
BaseRepresentation
bin100110101110010111000
32101110122001
410311302320
5311101140
643110344
713533322
oct4656270
92343561
101268920
117973a4
125123b4
13355753
14250612
151a0e9a
hex135cb8

1268920 has 16 divisors (see below), whose sum is σ = 2855160. Its totient is φ = 507552.

The previous prime is 1268899. The next prime is 1268921. The reversal of 1268920 is 298621.

It is a happy number.

It is a super-2 number, since 2×12689202 = 3220315932800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268921) 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 3 ways as a sum of consecutive naturals, for example, 15822 + ... + 15901.

21268920 is an apocalyptic number.

1268920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268920 is an abundant number, since it is smaller than the sum of its proper divisors (1586240).

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

1268920 is a wasteful number, since it uses less digits than its factorization.

1268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31734 (or 31730 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1268920 is about 1126.4634925287. The cubic root of 1268920 is about 108.2625072887.

Subtracting from 1268920 its reverse (298621), we obtain a cube (970299 = 993).

The spelling of 1268920 in words is "one million, two hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 31723 63446 126892 158615 253784 317230 634460 1268920