Search a number
-
+
74120 = 23517109
BaseRepresentation
bin10010000110001000
310202200012
4102012020
54332440
61331052
7426044
oct220610
9122605
1074120
1150762
1236a88
1327977
141d024
1516e65
hex12188

74120 has 32 divisors (see below), whose sum is σ = 178200. Its totient is φ = 27648.

The previous prime is 74101. The next prime is 74131. The reversal of 74120 is 2147.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70756 + 3364 = 266^2 + 58^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74095 and 74104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 626 + ... + 734.

274120 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 74120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89100).

74120 is an abundant number, since it is smaller than the sum of its proper divisors (104080).

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

74120 is a wasteful number, since it uses less digits than its factorization.

74120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 74120 is about 272.2498852158. The cubic root of 74120 is about 42.0060459928.

Adding to 74120 its reverse (2147), we get a palindrome (76267).

The spelling of 74120 in words is "seventy-four thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1853 2180 3706 4360 7412 9265 14824 18530 37060 74120