Search a number
-
+
65106 = 2323617
BaseRepresentation
bin1111111001010010
310022022100
433321102
54040411
61221230
7360546
oct177122
9108270
1065106
1144a08
1231816
1323832
1419a26
1514456
hexfe52

65106 has 12 divisors (see below), whose sum is σ = 141102. Its totient is φ = 21696.

The previous prime is 65101. The next prime is 65111. The reversal of 65106 is 60156.

65106 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (65101) and next prime (65111).

It can be written as a sum of positive squares in only one way, i.e., 65025 + 81 = 255^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3617 = 65106 / (6 + 5 + 1 + 0 + 6).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65106.

It is not an unprimeable number, because it can be changed into a prime (65101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1791 + ... + 1826.

265106 is an apocalyptic number.

65106 is an abundant number, since it is smaller than the sum of its proper divisors (75996).

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

65106 is a wasteful number, since it uses less digits than its factorization.

65106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65106 is about 255.1587740996. The cubic root of 65106 is about 40.2291019686.

Subtracting from 65106 its reverse (60156), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 6510 and 6, that multiplied together give a triangular number (39060 = T279).

The spelling of 65106 in words is "sixty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 3617 7234 10851 21702 32553 65106