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23130 = 2325257
BaseRepresentation
bin101101001011010
31011201200
411221122
51220010
6255030
7124302
oct55132
934650
1023130
1116418
1211476
13a6b3
148602
156cc0
hex5a5a

23130 has 24 divisors (see below), whose sum is σ = 60372. Its totient is φ = 6144.

The previous prime is 23117. The next prime is 23131. The reversal of 23130 is 3132.

23130 = 662 + 672 + ... + 702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 1521 = 147^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

23130 is an undulating number in base 16.

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 218.

223130 is an apocalyptic number.

23130 is an abundant number, since it is smaller than the sum of its proper divisors (37242).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30186).

23130 is a wasteful number, since it uses less digits than its factorization.

23130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23130 is about 152.0855022676. The cubic root of 23130 is about 28.4921492688.

Adding to 23130 its reverse (3132), we get a palindrome (26262).

It can be divided in two parts, 23 and 130, that added together give a triangular number (153 = T17).

The spelling of 23130 in words is "twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 23130