Search a number
-
+
204138508 = 22731941191
BaseRepresentation
bin11000010101011…
…10100000001100
3112020010022101111
430022232200030
5404224413013
632131221404
75026102000
oct1412564014
9466108344
10204138508
11a525a312
1258447864
13333a5c22
141d17c700
1512dc573d
hexc2ae80c

204138508 has 96 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 80438400.

The previous prime is 204138463. The next prime is 204138577. The reversal of 204138508 is 805831402.

It is a self number, because there is not a number n which added to its sum of digits gives 204138508.

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 31 ways as a sum of consecutive naturals, for example, 1068693 + ... + 1068883.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2204138508 is an apocalyptic number.

204138508 is a gapful number since it is divisible by the number (28) 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 204138508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

204138508 is an abundant number, since it is smaller than the sum of its proper divisors (247445492).

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

204138508 is a wasteful number, since it uses less digits than its factorization.

204138508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 204138508 is about 14287.7047841842. The cubic root of 204138508 is about 588.8097309737.

The spelling of 204138508 in words is "two hundred four million, one hundred thirty-eight thousand, five hundred eight".

Divisors: 1 2 4 7 14 19 28 38 41 49 76 82 98 133 164 191 196 266 287 343 382 532 574 686 764 779 931 1148 1337 1372 1558 1862 2009 2674 3116 3629 3724 4018 5348 5453 6517 7258 7831 8036 9359 10906 13034 14063 14516 15662 18718 21812 25403 26068 28126 31324 37436 38171 50806 54817 56252 65513 76342 101612 109634 131026 148789 152684 177821 219268 262052 267197 297578 355642 383719 534394 595156 711284 767438 1041523 1068788 1244747 1534876 2083046 2489494 2686033 4166092 4978988 5372066 7290661 10744132 14581322 29162644 51034627 102069254 204138508