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13772 = 2211313
BaseRepresentation
bin11010111001100
3200220002
43113030
5420042
6143432
755103
oct32714
920802
1013772
11a390
127b78
136365
14503a
154132
hex35cc

13772 has 12 divisors (see below), whose sum is σ = 26376. Its totient is φ = 6240.

The previous prime is 13763. The next prime is 13781. The reversal of 13772 is 27731.

13772 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (13763) and next prime (13781).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2198).

213772 is an apocalyptic number.

It is an amenable number.

13772 is a deficient number, since it is larger than the sum of its proper divisors (12604).

13772 is a wasteful number, since it uses less digits than its factorization.

13772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its digits is 294, while the sum is 20.

The square root of 13772 is about 117.3541648174. The cubic root of 13772 is about 23.9698695965.

It can be divided in two parts, 1 and 3772, that added together give a palindrome (3773).

The spelling of 13772 in words is "thirteen thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 22 44 313 626 1252 3443 6886 13772