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1122968 = 237111823
BaseRepresentation
bin100010010001010011000
32010001102102
410102022120
5241413333
640022532
712354650
oct4221230
92101372
101122968
116a7780
12461a48
133041a2
14213360
15172ae8
hex112298

1122968 has 32 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 437280.

The previous prime is 1122941. The next prime is 1122983. The reversal of 1122968 is 8692211.

It is a super-2 number, since 2×11229682 = 2522114258048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1122968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

21122968 is an apocalyptic number.

It is an amenable number.

1122968 is an abundant number, since it is smaller than the sum of its proper divisors (1503592).

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

1122968 is a wasteful number, since it uses less digits than its factorization.

1122968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 1122968 is about 1059.7018448601. The cubic root of 1122968 is about 103.9415351868.

The spelling of 1122968 in words is "one million, one hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1823 3646 7292 12761 14584 20053 25522 40106 51044 80212 102088 140371 160424 280742 561484 1122968