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23680 = 27537
BaseRepresentation
bin101110010000000
31012111001
411302000
51224210
6301344
7126016
oct56200
935431
1023680
1116878
1211854
13aa17
1488b6
15703a
hex5c80

23680 has 32 divisors (see below), whose sum is σ = 58140. Its totient is φ = 9216.

The previous prime is 23677. The next prime is 23687. The reversal of 23680 is 8632.

It can be divided in two parts, 23 and 680, that added together give a triangular number (703 = T37).

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 576 = 152^2 + 24^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23687) 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 3 ways as a sum of consecutive naturals, for example, 622 + ... + 658.

223680 is an apocalyptic number.

23680 is a gapful number since it is divisible by the number (20) 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 23680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29070).

23680 is an abundant number, since it is smaller than the sum of its proper divisors (34460).

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

23680 is an equidigital number, since it uses as much as digits as its factorization.

23680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 23680 is about 153.8830724934. The cubic root of 23680 is about 28.7162174083.

The spelling of 23680 in words is "twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 23680