Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10144 = 25317
BaseRepresentation
bin10011110100000
3111220201
42132200
5311034
6114544
741401
oct23640
914821
1010144
117692
125a54
134804
1439a8
153014
hex27a0

10144 has 12 divisors (see below), whose sum is σ = 20034. Its totient is φ = 5056.

The previous prime is 10141. The next prime is 10151. The reversal of 10144 is 44101.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 144 = 100^2 + 12^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10144.

It is not an unprimeable number, because it can be changed into a prime (10141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127 + ... + 190.

210144 is an apocalyptic number.

10144 is the 64-th heptagonal number.

It is an amenable number.

10144 is a deficient number, since it is larger than the sum of its proper divisors (9890).

10144 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 7 representation: 10144 = (41401)7.

10144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10144 is about 100.7174264961. The cubic root of 10144 is about 21.6472673170.

Adding to 10144 its reverse (44101), we get a palindrome (54245).

It can be divided in two parts, 101 and 44, that multiplied together give a palindrome (4444).

The spelling of 10144 in words is "ten thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 317 634 1268 2536 5072 10144