16900 has 27 divisors (see below), whose sum is σ = 39711. Its totient is φ = 6240.

The previous prime is 16889. The next prime is 16901. The reversal of 16900 is 961.

Multipling 16900 by its sum of digits (16), we get a square (270400 = 520^{2}).

Multipling 16900 by its reverse (961), we get a square (16240900 = 4030^{2}).

It can be divided in two parts, 16 and 900, that multiplied together give a square (14400 = 120^{2}).

16900 = T_{129} + T_{130}.

The square root of 16900 is 130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 12544 = 66^2 + 112^2 .

It is a super-2 number, since 2×16900^{2} = 571220000, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1294 + ... + 1306.

2^{16900} is an apocalyptic number.

16900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16900 is the 130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16900

16900 is an abundant number, since it is smaller than the sum of its proper divisors (22811).

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

16900 is a wasteful number, since it uses less digits than its factorization.

16900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 16900 is about 25.6622994387.

The spelling of 16900 in words is "sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900

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