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200920560 = 24352333593
BaseRepresentation
bin10111111100111…
…00110111110000
3112000001211012020
423332130313300
5402413424220
631534231440
74656540141
oct1376346760
9460054166
10200920560
11a3461655
1257355580
133281a309
141c981ac8
151298c040
hexbf9cdf0

200920560 has 80 divisors (see below), whose sum is σ = 625701024. Its totient is φ = 53334016.

The previous prime is 200920543. The next prime is 200920561. The reversal of 200920560 is 65029002.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200920560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200920561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54124 + ... + 57716.

Almost surely, 2200920560 is an apocalyptic number.

200920560 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 200920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312850512).

200920560 is an abundant number, since it is smaller than the sum of its proper divisors (424780464).

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

200920560 is a wasteful number, since it uses less digits than its factorization.

200920560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 200920560 is about 14174.6449690989. The cubic root of 200920560 is about 585.6994191292.

Adding to 200920560 its reverse (65029002), we get a palindrome (265949562).

The spelling of 200920560 in words is "two hundred million, nine hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 2330 2796 3495 3593 3728 4660 5592 6990 7186 9320 10779 11184 13980 14372 17965 18640 21558 27960 28744 35930 43116 53895 55920 57488 71860 86232 107790 143720 172464 215580 287440 431160 837169 862320 1674338 2511507 3348676 4185845 5023014 6697352 8371690 10046028 12557535 13394704 16743380 20092056 25115070 33486760 40184112 50230140 66973520 100460280 200920560