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23120 = 245172
BaseRepresentation
bin101101001010000
31011201022
411221100
51214440
6255012
7124256
oct55120
934638
1023120
1116409
1211468
13a6a6
1485d6
156cb5
hex5a50

23120 has 30 divisors (see below), whose sum is σ = 57102. Its totient is φ = 8704.

The previous prime is 23117. The next prime is 23131. The reversal of 23120 is 2132.

Adding to 23120 its product of nonzero digits (12), we get a palindrome (23132).

Adding to 23120 its reverse (2132), we get a palindrome (25252).

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 15376 = 88^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

23120 is an undulating number in base 13.

It is a plaindrome in base 12.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 23098 and 23107.

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, 1352 + ... + 1368.

223120 is an apocalyptic number.

23120 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 23120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551).

23120 is an abundant number, since it is smaller than the sum of its proper divisors (33982).

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

23120 is a wasteful number, since it uses less digits than its factorization.

23120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 23120 is about 152.0526224700. The cubic root of 23120 is about 28.4880425883.

The spelling of 23120 in words is "twenty-three thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120