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1285968 = 24373367
BaseRepresentation
bin100111001111101010000
32102100000110
410321331100
5312122333
643321320
713634115
oct4717520
92370013
101285968
117a9192
12520240
13360438
1425690c
151a6063
hex139f50

1285968 has 40 divisors (see below), whose sum is σ = 3376768. Its totient is φ = 421632.

The previous prime is 1285943. The next prime is 1285969. The reversal of 1285968 is 8695821.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285969) 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 7 ways as a sum of consecutive naturals, for example, 3321 + ... + 3687.

21285968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688384).

1285968 is an abundant number, since it is smaller than the sum of its proper divisors (2090800).

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

1285968 is a wasteful number, since it uses less digits than its factorization.

1285968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 1285968 is about 1134.0052909929. The cubic root of 1285968 is about 108.7451893763.

The spelling of 1285968 in words is "one million, two hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 367 438 584 734 876 1101 1168 1468 1752 2202 2936 3504 4404 5872 8808 17616 26791 53582 80373 107164 160746 214328 321492 428656 642984 1285968