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23936 = 271117
BaseRepresentation
bin101110110000000
31012211112
411312000
51231221
6302452
7126533
oct56600
935745
1023936
1116a90
1211a28
13ab83
148a1a
15715b
hex5d80

23936 has 32 divisors (see below), whose sum is σ = 55080. Its totient is φ = 10240.

The previous prime is 23929. The next prime is 23957. The reversal of 23936 is 63932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

23936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1400 + ... + 1416.

223936 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 23936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540).

23936 is an abundant number, since it is smaller than the sum of its proper divisors (31144).

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

23936 is a wasteful number, since it uses less digits than its factorization.

23936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its digits is 972, while the sum is 23.

The square root of 23936 is about 154.7126368465. The cubic root of 23936 is about 28.8193285889.

It can be divided in two parts, 23 and 936, that multiplied together give a triangular number (21528 = T207).

The spelling of 23936 in words is "twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936