Search a number
-
+
204101660 = 225721712251
BaseRepresentation
bin11000010101001…
…01100000011100
3112020001102211202
430022211200130
5404222223120
632130335032
75025556400
oct1412454034
9466042752
10204101660
11a5234664
125842a478
1333392219
141d16d100
1512db9875
hexc2a581c

204101660 has 72 divisors (see below), whose sum is σ = 527963184. Its totient is φ = 65856000.

The previous prime is 204101659. The next prime is 204101663. The reversal of 204101660 is 66101402.

It is a happy number.

204101660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041016602 = 83314975229511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204101663) by changing a digit.

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, 10535 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (7332822).

Almost surely, 2204101660 is an apocalyptic number.

204101660 is a gapful number since it is divisible by the number (20) 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 204101660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263981592).

204101660 is an abundant number, since it is smaller than the sum of its proper divisors (323861524).

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

204101660 is a wasteful number, since it uses less digits than its factorization.

204101660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 204101660 is about 14286.4152256611. The cubic root of 204101660 is about 588.7743011623.

The spelling of 204101660 in words is "two hundred four million, one hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 12251 16660 24502 49004 61255 85757 122510 171514 208267 245020 343028 416534 428785 600299 833068 857570 1041335 1200598 1457869 1715140 2082670 2401196 2915738 3001495 4165340 5831476 6002990 7289345 10205083 12005980 14578690 20410166 29157380 40820332 51025415 102050830 204101660