Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
23142 = 2371929
BaseRepresentation
bin101101001100110
31011202010
411221212
51220032
6255050
7124320
oct55146
934663
1023142
1116429
1211486
13a6c2
148610
156ccc
hex5a66

23142 has 32 divisors (see below), whose sum is σ = 57600. Its totient is φ = 6048.

The previous prime is 23131. The next prime is 23143. The reversal of 23142 is 24132.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23143) by changing a digit.

23142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

223142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800).

23142 is an abundant number, since it is smaller than the sum of its proper divisors (34458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23142 is a wasteful number, since it uses less digits than its factorization.

23142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60.

The product of its digits is 48, while the sum is 12.

The square root of 23142 is about 152.1249486442. The cubic root of 23142 is about 28.4970757234.

Adding to 23142 its reverse (24132), we get a palindrome (47274).

Subtracting 23142 from its reverse (24132), we obtain a triangular number (990 = T44).

The spelling of 23142 in words is "twenty-three thousand, one hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 11571 23142