Search a number
-
+
16074 = 2321947
BaseRepresentation
bin11111011001010
3211001100
43323022
51003244
6202230
764602
oct37312
924040
1016074
1111093
129376
137416
145c02
154b69
hex3eca

16074 has 24 divisors (see below), whose sum is σ = 37440. Its totient is φ = 4968.

The previous prime is 16073. The next prime is 16087. The reversal of 16074 is 47061.

It is a Harshad number since it is a multiple of its sum of digits (18).

16074 is a modest number, since divided by 74 gives 16 as remainder.

It is not an unprimeable number, because it can be changed into a prime (16073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

216074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

16074 is an abundant number, since it is smaller than the sum of its proper divisors (21366).

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

16074 is a wasteful number, since it uses less digits than its factorization.

16074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16074 is about 126.7832796547. The cubic root of 16074 is about 25.2372088270.

The spelling of 16074 in words is "sixteen thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074