Search a number
-
+
75340 = 2253767
BaseRepresentation
bin10010011001001100
310211100101
4102121030
54402330
61340444
7432436
oct223114
9124311
1075340
1151671
1237724
13283a5
141d656
15174ca
hex1264c

75340 has 12 divisors (see below), whose sum is σ = 158256. Its totient is φ = 30128.

The previous prime is 75337. The next prime is 75347. The reversal of 75340 is 4357.

It is a super-2 number, since 2×753402 = 11352231200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75347) 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 3 ways as a sum of consecutive naturals, for example, 1864 + ... + 1903.

It is an arithmetic number, because the mean of its divisors is an integer number (13188).

275340 is an apocalyptic number.

It is an amenable number.

75340 is an abundant number, since it is smaller than the sum of its proper divisors (82916).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79128).

75340 is a wasteful number, since it uses less digits than its factorization.

75340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 75340 is about 274.4813290554. The cubic root of 75340 is about 42.2352632334.

Adding to 75340 its reverse (4357), we get a palindrome (79697).

The spelling of 75340 in words is "seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3767 7534 15068 18835 37670 75340