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13200149 = 181233313
BaseRepresentation
bin110010010110…
…101100010101
3220211122012102
4302112230111
511334401044
61150531445
7220125254
oct62265425
926748172
1013200149
1174a6516
124506b85
132972351
141a7879b
15125b24e
hexc96b15

13200149 has 8 divisors (see below), whose sum is σ = 13372632. Its totient is φ = 13029120.

The previous prime is 13200119. The next prime is 13200169. The reversal of 13200149 is 94100231.

13200149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2592100 + 10608049 = 1610^2 + 3257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13200149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13200149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42017 + ... + 42329.

It is an arithmetic number, because the mean of its divisors is an integer number (1671579).

Almost surely, 213200149 is an apocalyptic number.

It is an amenable number.

13200149 is a deficient number, since it is larger than the sum of its proper divisors (172483).

13200149 is a wasteful number, since it uses less digits than its factorization.

13200149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13200149 is about 3633.2009303093. The cubic root of 13200149 is about 236.3340393235.

The spelling of 13200149 in words is "thirteen million, two hundred thousand, one hundred forty-nine".

Divisors: 1 181 233 313 42173 56653 72929 13200149