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1328712 = 233711719
BaseRepresentation
bin101000100011001001000
32111111122120
411010121020
5320004322
644251240
714202540
oct5043110
92444576
101328712
11828310
12540b20
13376a28
14268320
151b3a5c
hex144648

1328712 has 64 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 344640.

The previous prime is 1328711. The next prime is 1328729. The reversal of 1328712 is 2178231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1328711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

21328712 is an apocalyptic number.

1328712 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 1328712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1328712 is an abundant number, since it is smaller than the sum of its proper divisors (2818488).

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

1328712 is a wasteful number, since it uses less digits than its factorization.

1328712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1328712 is about 1152.6977053851. The cubic root of 1328712 is about 109.9369335459.

The spelling of 1328712 in words is "one million, three hundred twenty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 719 924 1438 1848 2157 2876 4314 5033 5752 7909 8628 10066 15099 15818 17256 20132 23727 30198 31636 40264 47454 55363 60396 63272 94908 110726 120792 166089 189816 221452 332178 442904 664356 1328712