Search a number
-
+
128541 = 376121
BaseRepresentation
bin11111011000011101
320112022210
4133120131
513103131
62431033
71043520
oct373035
9215283
10128541
1188636
1262479
134667a
1434bb7
1528146
hex1f61d

128541 has 8 divisors (see below), whose sum is σ = 195904. Its totient is φ = 73440.

The previous prime is 128521. The next prime is 128549. The reversal of 128541 is 145821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128541 - 25 = 128509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6121 = 128541 / (1 + 2 + 8 + 5 + 4 + 1).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128549) 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 7 ways as a sum of consecutive naturals, for example, 3040 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (24488).

2128541 is an apocalyptic number.

It is an amenable number.

128541 is a deficient number, since it is larger than the sum of its proper divisors (67363).

128541 is an equidigital number, since it uses as much as digits as its factorization.

128541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131.

The product of its digits is 320, while the sum is 21.

The square root of 128541 is about 358.5261496739. The cubic root of 128541 is about 50.4677439997.

It can be divided in two parts, 1285 and 41, that added together give a triangular number (1326 = T51).

The spelling of 128541 in words is "one hundred twenty-eight thousand, five hundred forty-one".

Divisors: 1 3 7 21 6121 18363 42847 128541