Search a number
-
+
23500 = 225347
BaseRepresentation
bin101101111001100
31012020101
411233030
51223000
6300444
7125341
oct55714
935211
1023500
1116724
1211724
13a909
1487c8
156e6a
hex5bcc

23500 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 9200.

The previous prime is 23497. The next prime is 23509. The reversal of 23500 is 532.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (23509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

223500 is an apocalyptic number.

23500 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 23500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

23500 is an abundant number, since it is smaller than the sum of its proper divisors (28916).

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

23500 is a wasteful number, since it uses less digits than its factorization.

23500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 23500 is about 153.2970971676. The cubic root of 23500 is about 28.6432715799.

The spelling of 23500 in words is "twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1175 2350 4700 5875 11750 23500