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23426 = 2131753
BaseRepresentation
bin101101110000010
31012010122
411232002
51222201
6300242
7125204
oct55602
935118
1023426
1116667
1211682
13a880
148774
156e1b
hex5b82

23426 has 16 divisors (see below), whose sum is σ = 40824. Its totient is φ = 9984.

The previous prime is 23417. The next prime is 23431. The reversal of 23426 is 62432.

23426 = T1 + T2 + ... + T51.

23426 is a nontrivial binomial coefficient, being equal to C(53, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 21025 + 2401 = 145^2 + 49^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23426.

It is an unprimeable number.

It is the 51-st tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 468.

223426 is an apocalyptic number.

23426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23426 is a deficient number, since it is larger than the sum of its proper divisors (17398).

23426 is a wasteful number, since it uses less digits than its factorization.

23426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its digits is 288, while the sum is 17.

The square root of 23426 is about 153.0555454729. The cubic root of 23426 is about 28.6131746887.

Subtracting from 23426 its sum of digits (17), we obtain a square (23409 = 1532).

23426 divided by its sum of digits (17) gives a triangular number (1378 = T52).

Adding to 23426 its reverse (62432), we get a palindrome (85858).

It can be divided in two parts, 234 and 26, that multiplied together give a square (6084 = 782).

The spelling of 23426 in words is "twenty-three thousand, four hundred twenty-six".

Divisors: 1 2 13 17 26 34 53 106 221 442 689 901 1378 1802 11713 23426