Search a number
-
+
75141 = 3311223
BaseRepresentation
bin10010010110000101
310211002000
4102112011
54401031
61335513
7432033
oct222605
9124060
1075141
1151500
1237599
1328281
141d553
15173e6
hex12585

75141 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 43560.

The previous prime is 75133. The next prime is 75149. The reversal of 75141 is 14157.

It is an interprime number because it is at equal distance from previous prime (75133) and next prime (75149).

It is not a de Polignac number, because 75141 - 23 = 75133 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3256 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

275141 is an apocalyptic number.

It is an amenable number.

75141 is a deficient number, since it is larger than the sum of its proper divisors (52539).

75141 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (75140) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (37).

75141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 75141 is about 274.1185874763. The cubic root of 75141 is about 42.1980442779.

Adding to 75141 its reverse (14157), we get a palindrome (89298).

It can be divided in two parts, 75 and 141, that added together give a cube (216 = 63).

The spelling of 75141 in words is "seventy-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 23 27 33 69 99 121 207 253 297 363 621 759 1089 2277 2783 3267 6831 8349 25047 75141