Search a number
-
+
74420 = 225612
BaseRepresentation
bin10010001010110100
310210002022
4102022310
54340140
61332312
7426653
oct221264
9123068
1074420
1150a05
1237098
1327b48
141d19a
15170b5
hex122b4

74420 has 18 divisors (see below), whose sum is σ = 158886. Its totient is φ = 29280.

The previous prime is 74419. The next prime is 74441. The reversal of 74420 is 2447.

74420 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 68644 = 76^2 + 262^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 74420.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1190 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (8827).

274420 is an apocalyptic number.

It is an amenable number.

74420 is an abundant number, since it is smaller than the sum of its proper divisors (84466).

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 (79443).

74420 is a wasteful number, since it uses less digits than its factorization.

74420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 74420 is about 272.8002932550. The cubic root of 74420 is about 42.0626427279.

Adding to 74420 its reverse (2447), we get a palindrome (76867).

It can be divided in two parts, 74 and 420, that added together give a palindrome (494).

The spelling of 74420 in words is "seventy-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 3721 7442 14884 18605 37210 74420