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23415 = 357223
BaseRepresentation
bin101101101110111
31012010020
411231313
51222130
6300223
7125160
oct55567
935106
1023415
1116657
1211673
13a872
148767
156e10
hex5b77

23415 has 16 divisors (see below), whose sum is σ = 43008. Its totient is φ = 10656.

The previous prime is 23399. The next prime is 23417. The reversal of 23415 is 51432.

23415 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 23415 - 24 = 23399 is a prime.

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

It is a plaindrome in base 8.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 23394 and 23403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

223415 is an apocalyptic number.

23415 is a deficient number, since it is larger than the sum of its proper divisors (19593).

23415 is a wasteful number, since it uses less digits than its factorization.

23415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 120, while the sum is 15.

The square root of 23415 is about 153.0196065869. The cubic root of 23415 is about 28.6086954179.

Adding to 23415 its reverse (51432), we get a palindrome (74847).

It can be divided in two parts, 2341 and 5, that added together give a triangular number (2346 = T68).

The spelling of 23415 in words is "twenty-three thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 223 669 1115 1561 3345 4683 7805 23415