Search a number
-
+
74250 = 2335311
BaseRepresentation
bin10010001000001010
310202212000
4102020022
54334000
61331430
7426321
oct221012
9122760
1074250
1150870
1236b76
1327a47
141d0b8
1517000
hex1220a

74250 has 64 divisors (see below), whose sum is σ = 224640. Its totient is φ = 18000.

The previous prime is 74231. The next prime is 74257. The reversal of 74250 is 5247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6745 + ... + 6755.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

274250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

74250 is an abundant number, since it is smaller than the sum of its proper divisors (150390).

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

74250 is a wasteful number, since it uses less digits than its factorization.

74250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 74250 is about 272.4885318688. The cubic root of 74250 is about 42.0305899598.

Adding to 74250 its reverse (5247), we get a palindrome (79497).

It can be divided in two parts, 74 and 250, that added together give a square (324 = 182).

The spelling of 74250 in words is "seventy-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 125 135 150 165 198 225 250 270 275 297 330 375 450 495 550 594 675 750 825 990 1125 1350 1375 1485 1650 2250 2475 2750 2970 3375 4125 4950 6750 7425 8250 12375 14850 24750 37125 74250