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23430 = 2351171
BaseRepresentation
bin101101110000110
31012010210
411232012
51222210
6300250
7125211
oct55606
935123
1023430
1116670
1211686
13a884
148778
156e20
hex5b86

23430 has 32 divisors (see below), whose sum is σ = 62208. Its totient is φ = 5600.

The previous prime is 23417. The next prime is 23431. The reversal of 23430 is 3432.

Adding to 23430 its reverse (3432), we get a palindrome (26862).

23430 is nontrivially palindromic in base 14.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431) by changing a digit.

23430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

223430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104).

23430 is an abundant number, since it is smaller than the sum of its proper divisors (38778).

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

23430 is a wasteful number, since it uses less digits than its factorization.

23430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23430 is about 153.0686120666. The cubic root of 23430 is about 28.6148031669.

The spelling of 23430 in words is "twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 23430