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74076 = 2236173
BaseRepresentation
bin10010000101011100
310202121120
4102011130
54332301
61330540
7425652
oct220534
9122546
1074076
1150722
1236a50
1327942
141cdd2
1516e36
hex1215c

74076 has 12 divisors (see below), whose sum is σ = 172872. Its totient is φ = 24688.

The previous prime is 74071. The next prime is 74077. The reversal of 74076 is 67047.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74071) by changing a digit.

74076 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3075 + ... + 3098.

It is an arithmetic number, because the mean of its divisors is an integer number (14406).

274076 is an apocalyptic number.

It is an amenable number.

74076 is an abundant number, since it is smaller than the sum of its proper divisors (98796).

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 (86436).

74076 is a wasteful number, since it uses less digits than its factorization.

74076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 74076 is about 272.1690651048. The cubic root of 74076 is about 41.9977323039.

Subtracting from 74076 its product of nonzero digits (1176), we obtain a square (72900 = 2702).

The spelling of 74076 in words is "seventy-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 6173 12346 18519 24692 37038 74076