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23796 = 2232661
BaseRepresentation
bin101110011110100
31012122100
411303310
51230141
6302100
7126243
oct56364
935570
1023796
1116973
1211930
13aaa6
14895a
1570b6
hex5cf4

23796 has 18 divisors (see below), whose sum is σ = 60242. Its totient is φ = 7920.

The previous prime is 23789. The next prime is 23801. The reversal of 23796 is 69732.

Added to its reverse (69732) it gives a triangular number (93528 = T432).

It can be written as a sum of positive squares in only one way, i.e., 22500 + 1296 = 150^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295 + ... + 366.

23796 is a Friedman number, since it can be written as 6*((9*7)^2-3), using all its digits and the basic arithmetic operations.

223796 is an apocalyptic number.

It is an amenable number.

23796 is an abundant number, since it is smaller than the sum of its proper divisors (36446).

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

23796 is a wasteful number, since it uses less digits than its factorization.

23796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 666 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 23796 is about 154.2595215862. The cubic root of 23796 is about 28.7630312696.

Subtracting from 23796 its product of digits (2268), we obtain a triangular number (21528 = T207).

Adding to 23796 its reverse (69732), we get a triangular number (93528 = T432).

It can be divided in two parts, 237 and 96, that added together give a palindrome (333).

The spelling of 23796 in words is "twenty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 661 1322 1983 2644 3966 5949 7932 11898 23796