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74116 = 2272647
BaseRepresentation
bin10010000110000100
310202200001
4102012010
54332431
61331044
7426040
oct220604
9122601
1074116
1150759
1236a84
1327973
141d020
1516e61
hex12184

74116 has 12 divisors (see below), whose sum is σ = 148288. Its totient is φ = 31752.

The previous prime is 74101. The next prime is 74131. The reversal of 74116 is 61147.

It is a happy number.

74116 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (74101) and next prime (74131).

74116 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 74093 and 74102.

It is an unprimeable number.

74116 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1296 + ... + 1351.

274116 is an apocalyptic number.

It is an amenable number.

74116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (74144).

74116 is a wasteful number, since it uses less digits than its factorization.

74116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2656 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 74116 is about 272.2425389244. The cubic root of 74116 is about 42.0052903389.

It can be divided in two parts, 741 and 16, that added together give a palindrome (757).

The spelling of 74116 in words is "seventy-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 2647 5294 10588 18529 37058 74116