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1329888 = 25371979
BaseRepresentation
bin101000100101011100000
32111120021010
411010223200
5320024023
644300520
714206140
oct5045340
92446233
101329888
1182918a
12541740
13377421
14268920
151b4093
hex144ae0

1329888 has 48 divisors (see below), whose sum is σ = 3991680. Its totient is φ = 379776.

The previous prime is 1329871. The next prime is 1329899. The reversal of 1329888 is 8889231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

21329888 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 1329888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840).

1329888 is an abundant number, since it is smaller than the sum of its proper divisors (2661792).

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

1329888 is a wasteful number, since it uses less digits than its factorization.

1329888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1991 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 1329888 is about 1153.2077002865. The cubic root of 1329888 is about 109.9693578562.

The spelling of 1329888 in words is "one million, three hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1979 3958 5937 7916 11874 13853 15832 23748 27706 31664 41559 47496 55412 63328 83118 94992 110824 166236 189984 221648 332472 443296 664944 1329888