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10237 = 29353
BaseRepresentation
bin10011111111101
3112001011
42133331
5311422
6115221
741563
oct23775
915034
1010237
117767
125b11
134876
143a33
153077
hex27fd

10237 has 4 divisors (see below), whose sum is σ = 10620. Its totient is φ = 9856.

The previous prime is 10223. The next prime is 10243. The reversal of 10237 is 73201.

Adding to 10237 its reverse (73201), we get a palindrome (83438).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73201 = 711031.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 5476 = 69^2 + 74^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10237 is a prime.

It is a Duffinian number.

It is the 18-th primeval number, because it sets a new record (55) in the number of distinct primes that is it possible to write using its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10237.

It is not an unprimeable number, because it can be changed into a prime (10247) 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 3 ways as a sum of consecutive naturals, for example, 148 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (2655).

210237 is an apocalyptic number.

It is an amenable number.

10237 is a deficient number, since it is larger than the sum of its proper divisors (383).

10237 is an equidigital number, since it uses as much as digits as its factorization.

10237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10237 is about 101.1780608630. The cubic root of 10237 is about 21.7132200869.

The spelling of 10237 in words is "ten thousand, two hundred thirty-seven".

Divisors: 1 29 353 10237