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1320968 = 231117883
BaseRepresentation
bin101000010100000001000
32111010000202
411002200020
5314232333
644151332
714141135
oct5024010
92433022
101320968
11822510
12538548
1337334c
1426558c
151b15e8
hex142808

1320968 has 32 divisors (see below), whose sum is σ = 2864160. Its totient is φ = 564480.

The previous prime is 1320961. The next prime is 1320973. The reversal of 1320968 is 8690231.

It is a self number, because there is not a number n which added to its sum of digits gives 1320968.

It is not an unprimeable number, because it can be changed into a prime (1320961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

21320968 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 1320968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080).

1320968 is an abundant number, since it is smaller than the sum of its proper divisors (1543192).

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

1320968 is a wasteful number, since it uses less digits than its factorization.

1320968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1320968 is about 1149.3337200309. Note that the first 3 decimals coincide. The cubic root of 1320968 is about 109.7229391065.

The spelling of 1320968 in words is "one million, three hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 883 1496 1766 3532 7064 9713 15011 19426 30022 38852 60044 77704 120088 165121 330242 660484 1320968