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16740 = 2233531
BaseRepresentation
bin100000101100100
3211222000
410011210
51013430
6205300
766543
oct40544
924860
1016740
1111639
129830
137809
14615a
154e60
hex4164

16740 has 48 divisors (see below), whose sum is σ = 53760. Its totient is φ = 4320.

The previous prime is 16729. The next prime is 16741. The reversal of 16740 is 4761.

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

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16741) by changing a digit.

16740 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 15 ways as a sum of consecutive naturals, for example, 525 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

216740 is an apocalyptic number.

16740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880).

16740 is an abundant number, since it is smaller than the sum of its proper divisors (37020).

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

16740 is a wasteful number, since it uses less digits than its factorization.

16740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

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

The square root of 16740 is about 129.3831519171. The cubic root of 16740 is about 25.5810569498.

The spelling of 16740 in words is "sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740