Search a number
-
+
209081376 = 25327372803
BaseRepresentation
bin11000111011001…
…01010000100000
3112120102102201200
430131211100200
5412011101001
632425201200
75116106460
oct1435452040
9476372650
10209081376
11a8025a29
125a030200
13344169ba
141daa7ba0
1513550086
hexc765420

209081376 has 144 divisors (see below), whose sum is σ = 698128704. Its totient is φ = 58102272.

The previous prime is 209081359. The next prime is 209081423. The reversal of 209081376 is 673180902.

209081376 is a `hidden beast` number, since 209 + 0 + 81 + 376 = 666.

209081376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 209081376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73191 + ... + 75993.

It is an arithmetic number, because the mean of its divisors is an integer number (4848116).

Almost surely, 2209081376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209081376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349064352).

209081376 is an abundant number, since it is smaller than the sum of its proper divisors (489047328).

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

209081376 is a wasteful number, since it uses less digits than its factorization.

209081376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 209081376 is about 14459.6464687073. The cubic root of 209081376 is about 593.5242253544.

The spelling of 209081376 in words is "two hundred nine million, eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 2803 3108 3552 4144 4662 5328 5606 6216 8288 8409 9324 10656 11212 12432 16818 18648 19621 22424 24864 25227 33636 37296 39242 44848 50454 58863 67272 74592 78484 89696 100908 103711 117726 134544 156968 176589 201816 207422 235452 269088 311133 313936 353178 403632 414844 470904 622266 627872 706356 725977 807264 829688 933399 941808 1244532 1412712 1451954 1659376 1866798 1883616 2177931 2489064 2825424 2903908 3318752 3733596 4355862 4978128 5650848 5807816 6533793 7467192 8711724 9956256 11615632 13067586 14934384 17423448 23231264 26135172 29868768 34846896 52270344 69693792 104540688 209081376