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1331064 = 2332719139
BaseRepresentation
bin101000100111101111000
32111121212200
411010331320
5320043224
644310200
714212440
oct5047570
92447780
101331064
1182a059
12542360
13377b17
14269120
151b45c9
hex144f78

1331064 has 96 divisors (see below), whose sum is σ = 4368000. Its totient is φ = 357696.

The previous prime is 1331063. The next prime is 1331093. The reversal of 1331064 is 4601331.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1331064 = 43 + 1103 = 673 + 1013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9507 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (45500).

21331064 is an apocalyptic number.

1331064 is a gapful number since it is divisible by the number (14) 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 1331064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184000).

1331064 is an abundant number, since it is smaller than the sum of its proper divisors (3036936).

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

1331064 is a wasteful number, since it uses less digits than its factorization.

1331064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331064 is about 1153.7174697473. The cubic root of 1331064 is about 110.0017630571.

Adding to 1331064 its reverse (4601331), we get a palindrome (5932395).

The spelling of 1331064 in words is "one million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 139 152 168 171 228 252 266 278 342 399 417 456 504 532 556 684 798 834 973 1064 1112 1197 1251 1368 1596 1668 1946 2394 2502 2641 2919 3192 3336 3892 4788 5004 5282 5838 7784 7923 8757 9576 10008 10564 11676 15846 17514 18487 21128 23352 23769 31692 35028 36974 47538 55461 63384 70056 73948 95076 110922 147896 166383 190152 221844 332766 443688 665532 1331064