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10377 = 321153
BaseRepresentation
bin10100010001001
3112020100
42202021
5313002
6120013
742153
oct24211
915210
1010377
117884
126009
134953
15311c
hex2889

10377 has 6 divisors (see below), whose sum is σ = 15002. Its totient is φ = 6912.

The previous prime is 10369. The next prime is 10391. The reversal of 10377 is 77301.

Adding to 10377 its reverse (77301), we get a palindrome (87678).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 576 = 99^2 + 24^2 .

It is not a de Polignac number, because 10377 - 23 = 10369 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568 + ... + 585.

210377 is an apocalyptic number.

It is an amenable number.

10377 is a deficient number, since it is larger than the sum of its proper divisors (4625).

10377 is a wasteful number, since it uses less digits than its factorization.

10377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10377 is about 101.8675610781. The cubic root of 10377 is about 21.8117547357.

The spelling of 10377 in words is "ten thousand, three hundred seventy-seven", and thus it is an iban number.

Divisors: 1 3 9 1153 3459 10377