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1331984 = 24175983
BaseRepresentation
bin101000101001100010000
32111200010202
411011030100
5320110414
644314332
714215223
oct5051420
92450122
101331984
1182a815
125429a8
13378374
142695ba
151b49de
hex145310

1331984 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 608768.

The previous prime is 1331969. The next prime is 1331987. The reversal of 1331984 is 4891331.

It is not an unprimeable number, because it can be changed into a prime (1331987) 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 7 ways as a sum of consecutive naturals, for example, 16007 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

21331984 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 1331984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1331984 is an abundant number, since it is smaller than the sum of its proper divisors (1480336).

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

1331984 is a wasteful number, since it uses less digits than its factorization.

1331984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

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

The square root of 1331984 is about 1154.1161120095. The cubic root of 1331984 is about 110.0271007606.

The spelling of 1331984 in words is "one million, three hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 59 68 83 118 136 166 236 272 332 472 664 944 1003 1328 1411 2006 2822 4012 4897 5644 8024 9794 11288 16048 19588 22576 39176 78352 83249 166498 332996 665992 1331984