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1331264 = 26113161
BaseRepresentation
bin101000101000001000000
32111122011002
411011001000
5320100024
644311132
714213144
oct5050100
92448132
101331264
1182a220
125424a8
13377c3c
14269224
151b46ae
hex145040

1331264 has 56 divisors (see below), whose sum is σ = 3023616. Its totient is φ = 576000.

The previous prime is 1331261. The next prime is 1331269. The reversal of 1331264 is 4621331.

It is not an unprimeable number, because it can be changed into a prime (1331261) 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, 21794 + ... + 21854.

21331264 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 1331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511808).

1331264 is an abundant number, since it is smaller than the sum of its proper divisors (1692352).

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

1331264 is a wasteful number, since it uses less digits than its factorization.

1331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 1331264 is about 1153.8041428249. The cubic root of 1331264 is about 110.0072722465.

Adding to 1331264 its reverse (4621331), we get a palindrome (5952595).

The spelling of 1331264 in words is "one million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 61 62 64 88 122 124 176 244 248 341 352 488 496 671 682 704 976 992 1342 1364 1891 1952 1984 2684 2728 3782 3904 5368 5456 7564 10736 10912 15128 20801 21472 21824 30256 41602 42944 60512 83204 121024 166408 332816 665632 1331264