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1319968 = 251319167
BaseRepresentation
bin101000010010000100000
32111001122201
411002100200
5314214333
644142544
714135206
oct5022040
92431581
101319968
11821791
12537a54
13372a60
14265076
151b117d
hex142420

1319968 has 48 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 573696.

The previous prime is 1319963. The next prime is 1320019. The reversal of 1319968 is 8699131.

It is not an unprimeable number, because it can be changed into a prime (1319963) 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, 7821 + ... + 7987.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

21319968 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 1319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1319968 is an abundant number, since it is smaller than the sum of its proper divisors (1643552).

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

1319968 is a wasteful number, since it uses less digits than its factorization.

1319968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The square root of 1319968 is about 1148.8986030107. The cubic root of 1319968 is about 109.6952446081.

The spelling of 1319968 in words is "one million, three hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 167 208 247 304 334 416 494 608 668 988 1336 1976 2171 2672 3173 3952 4342 5344 6346 7904 8684 12692 17368 25384 34736 41249 50768 69472 82498 101536 164996 329992 659984 1319968