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23460 = 22351723
BaseRepresentation
bin101101110100100
31012011220
411232210
51222320
6300340
7125253
oct55644
935156
1023460
1116698
12116b0
13a8a8
14879a
156e40
hex5ba4

23460 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 5632.

The previous prime is 23459. The next prime is 23473. The reversal of 23460 is 6432.

It is a Harshad number since it is a multiple of its sum of digits (15).

23460 is an undulating number in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

223460 is an apocalyptic number.

23460 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 23460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

23460 is an abundant number, since it is smaller than the sum of its proper divisors (49116).

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

23460 is a wasteful number, since it uses less digits than its factorization.

23460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23460 is about 153.1665759884. The cubic root of 23460 is about 28.6270108489.

Adding to 23460 its reverse (6432), we get a palindrome (29892).

The spelling of 23460 in words is "twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5865 7820 11730 23460