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13231764 = 22327213577
BaseRepresentation
bin110010011110…
…011010010100
3220220020120100
4302132122110
511341404024
61151334100
7220316400
oct62363224
926806510
1013231764
117518247
124521330
132983860
141a86100
1512657c9
hexc9e694

13231764 has 108 divisors (see below), whose sum is σ = 41973204. Its totient is φ = 3483648.

The previous prime is 13231741. The next prime is 13231781. The reversal of 13231764 is 46713231.

13231764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 4588164 = 2940^2 + 2142^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22644 + ... + 23220.

Almost surely, 213231764 is an apocalyptic number.

13231764 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 13231764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986602).

13231764 is an abundant number, since it is smaller than the sum of its proper divisors (28741440).

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

13231764 is a wasteful number, since it uses less digits than its factorization.

13231764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13231764 is about 3637.5491749253. The cubic root of 13231764 is about 236.5225660729.

Adding to 13231764 its reverse (46713231), we get a palindrome (59944995).

The spelling of 13231764 in words is "thirteen million, two hundred thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 577 588 637 819 882 1092 1154 1274 1638 1731 1764 1911 2308 2548 3276 3462 3822 4039 5193 5733 6924 7501 7644 8078 10386 11466 12117 15002 16156 20772 22503 22932 24234 28273 30004 36351 45006 48468 52507 56546 67509 72702 84819 90012 105014 113092 135018 145404 157521 169638 210028 254457 270036 315042 339276 367549 472563 508914 630084 735098 945126 1017828 1102647 1470196 1890252 2205294 3307941 4410588 6615882 13231764