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16974 = 2322341
BaseRepresentation
bin100001001001110
3212021200
410021032
51020344
6210330
7100326
oct41116
925250
1016974
1111831
1299a6
137959
146286
155069
hex424e

16974 has 24 divisors (see below), whose sum is σ = 39312. Its totient is φ = 5280.

The previous prime is 16963. The next prime is 16979. The reversal of 16974 is 47961.

Its product of digits (1512) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16979) 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, 394 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

216974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

16974 is an abundant number, since it is smaller than the sum of its proper divisors (22338).

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

16974 is a wasteful number, since it uses less digits than its factorization.

16974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 16974 is about 130.2843045037. The cubic root of 16974 is about 25.6997007238.

It can be divided in two parts, 169 and 74, that added together give a 5-th power (243 = 35).

The spelling of 16974 in words is "sixteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 16974