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1320192 = 2833191
BaseRepresentation
bin101000010010100000000
32111001222000
411002110000
5314221232
644144000
714135646
oct5022400
92431860
101320192
11821975
12538000
13372ba3
14265196
151b127c
hex142500

1320192 has 72 divisors (see below), whose sum is σ = 3924480. Its totient is φ = 437760.

The previous prime is 1320191. The next prime is 1320199. The reversal of 1320192 is 2910231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320191) 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, 6817 + ... + 7007.

21320192 is an apocalyptic number.

1320192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962240).

1320192 is an abundant number, since it is smaller than the sum of its proper divisors (2604288).

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

1320192 is an equidigital number, since it uses as much as digits as its factorization.

1320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1320192 is about 1148.9960835442. The cubic root of 1320192 is about 109.7014493911.

The spelling of 1320192 in words is "one million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 191 192 216 256 288 382 384 432 573 576 764 768 864 1146 1152 1528 1719 1728 2292 2304 3056 3438 3456 4584 5157 6112 6876 6912 9168 10314 12224 13752 18336 20628 24448 27504 36672 41256 48896 55008 73344 82512 110016 146688 165024 220032 330048 440064 660096 1320192