Search a number
-
+
204208560 = 2433594541
BaseRepresentation
bin11000010101111…
…11100110110000
3112020020212111000
430022333212300
5404234133220
632132522000
75026513143
oct1412774660
9466225430
10204208560
11a52a7a06
1258480300
13333cba8a
141d19a05a
1512ddb390
hexc2bf9b0

204208560 has 80 divisors (see below), whose sum is σ = 703392480. Its totient is φ = 54455040.

The previous prime is 204208553. The next prime is 204208579. The reversal of 204208560 is 65802402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2042085602 = 83402271954547200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 45111 + ... + 49430.

It is an arithmetic number, because the mean of its divisors is an integer number (8792406).

Almost surely, 2204208560 is an apocalyptic number.

204208560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204208560 is an abundant number, since it is smaller than the sum of its proper divisors (499183920).

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

204208560 is a wasteful number, since it uses less digits than its factorization.

204208560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94563 (or 94551 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204208560 is about 14290.1560523320. The cubic root of 204208560 is about 588.8770750897.

The spelling of 204208560 in words is "two hundred four million, two hundred eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 94541 189082 283623 378164 472705 567246 756328 850869 945410 1134492 1418115 1512656 1701738 1890820 2268984 2552607 2836230 3403476 3781640 4254345 4537968 5105214 5672460 6806952 7563280 8508690 10210428 11344920 12763035 13613904 17017380 20420856 22689840 25526070 34034760 40841712 51052140 68069520 102104280 204208560