Search a number
-
+
204763140 = 22345126397
BaseRepresentation
bin11000011010001…
…11000000000100
3112021022001020000
430031013000010
5404404410030
632152441300
75034313041
oct1415070004
9467261200
10204763140
11a564663a
12586a9230
133356432a
141d2a21c8
1512e9a860
hexc347004

204763140 has 60 divisors (see below), whose sum is σ = 642354636. Its totient is φ = 54603072.

The previous prime is 204763127. The next prime is 204763187. The reversal of 204763140 is 41367402.

204763140 is a `hidden beast` number, since 20 + 4 + 7 + 631 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60186564 + 144576576 = 7758^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61579 + ... + 64818.

Almost surely, 2204763140 is an apocalyptic number.

204763140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204763140 is an abundant number, since it is smaller than the sum of its proper divisors (437591496).

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

204763140 is a wasteful number, since it uses less digits than its factorization.

204763140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126418 (or 126407 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 204763140 is about 14309.5471626463. The cubic root of 204763140 is about 589.4096747959.

The spelling of 204763140 in words is "two hundred four million, seven hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 126397 252794 379191 505588 631985 758382 1137573 1263970 1516764 1895955 2275146 2527940 3412719 3791910 4550292 5687865 6825438 7583820 10238157 11375730 13650876 17063595 20476314 22751460 34127190 40952628 51190785 68254380 102381570 204763140