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74704 = 2472329
BaseRepresentation
bin10010001111010000
310210110211
4102033100
54342304
61333504
7430540
oct221720
9123424
1074704
1151143
1237294
1328006
141d320
1517204
hex123d0

74704 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 29568.

The previous prime is 74699. The next prime is 74707. The reversal of 74704 is 40747.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74707) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2562 + ... + 2590.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

274704 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 74704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

74704 is an abundant number, since it is smaller than the sum of its proper divisors (103856).

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

74704 is a wasteful number, since it uses less digits than its factorization.

74704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 74704 is about 273.3203248937. The cubic root of 74704 is about 42.1160809923.

Subtracting from 74704 its product of nonzero digits (784), we obtain a triangular number (73920 = T384).

The spelling of 74704 in words is "seventy-four thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 2576 2668 3248 4669 5336 9338 10672 18676 37352 74704