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75140 = 22513172
BaseRepresentation
bin10010010110000100
310211001222
4102112010
54401030
61335512
7432032
oct222604
9124058
1075140
11514aa
1237598
1328280
141d552
15173e5
hex12584

75140 has 36 divisors (see below), whose sum is σ = 180516. Its totient is φ = 26112.

The previous prime is 75133. The next prime is 75149. The reversal of 75140 is 4157.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 75076 = 8^2 + 274^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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

75140 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 11 ways as a sum of consecutive naturals, for example, 4412 + ... + 4428.

275140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90258).

75140 is an abundant number, since it is smaller than the sum of its proper divisors (105376).

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

75140 is a wasteful number, since it uses less digits than its factorization.

With its successor (75141) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (37).

75140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 75140 is about 274.1167634422. The cubic root of 75140 is about 42.1978570822.

Adding to 75140 its sum of digits (17), we get a palindrome (75157).

Adding to 75140 its reverse (4157), we get a palindrome (79297).

The spelling of 75140 in words is "seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 15028 18785 37570 75140