Search a number
-
+
204163680 = 2535760763
BaseRepresentation
bin11000010101101…
…00101001100000
3112020011120220210
430022310221200
5404231214210
632131534120
75026235250
oct1412645140
9466146823
10204163680
11a5277216
125845a340
13333b4516
141d187960
1512dcce20
hexc2b4a60

204163680 has 96 divisors (see below), whose sum is σ = 735001344. Its totient is φ = 46665216.

The previous prime is 204163667. The next prime is 204163703. The reversal of 204163680 is 86361402.

204163680 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 (96).

It is a super-2 number, since 2×2041636802 = 83365616462284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27022 + ... + 33741.

It is an arithmetic number, because the mean of its divisors is an integer number (7656264).

Almost surely, 2204163680 is an apocalyptic number.

204163680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204163680 is an abundant number, since it is smaller than the sum of its proper divisors (530837664).

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

204163680 is a wasteful number, since it uses less digits than its factorization.

204163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60788 (or 60780 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 204163680 is about 14288.5856542906. The cubic root of 204163680 is about 588.8339317146.

The spelling of 204163680 in words is "two hundred four million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 60763 121526 182289 243052 303815 364578 425341 486104 607630 729156 850682 911445 972208 1215260 1276023 1458312 1701364 1822890 1944416 2126705 2430520 2552046 2916624 3402728 3645780 4253410 4861040 5104092 5833248 6380115 6805456 7291560 8506820 9722080 10208184 12760230 13610912 14583120 17013640 20416368 25520460 29166240 34027280 40832736 51040920 68054560 102081840 204163680