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74320 = 245929
BaseRepresentation
bin10010001001010000
310202221121
4102021100
54334240
61332024
7426451
oct221120
9122847
1074320
1150924
1237014
1327a9c
141d128
151704a
hex12250

74320 has 20 divisors (see below), whose sum is σ = 172980. Its totient is φ = 29696.

The previous prime is 74317. The next prime is 74323. The reversal of 74320 is 2347.

Adding to 74320 its reverse (2347), we get a palindrome (76667).

It is an interprime number because it is at equal distance from previous prime (74317) and next prime (74323).

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 63504 = 104^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 74294 and 74303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74323) 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 3 ways as a sum of consecutive naturals, for example, 385 + ... + 544.

It is an arithmetic number, because the mean of its divisors is an integer number (8649).

274320 is an apocalyptic number.

It is an amenable number.

74320 is an abundant number, since it is smaller than the sum of its proper divisors (98660).

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 (86490).

74320 is a wasteful number, since it uses less digits than its factorization.

74320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 74320 is about 272.6169473822. The cubic root of 74320 is about 42.0437940775.

The spelling of 74320 in words is "seventy-four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 929 1858 3716 4645 7432 9290 14864 18580 37160 74320