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200641120 = 2554726681
BaseRepresentation
bin10111111010110…
…00101001100000
3111222112121212121
423331120221200
5402331003440
631524234024
74654264351
oct1375305140
9458477777
10200641120
11a3290709
125723b914
1332750074
141c90bd28
151293434a
hexbf58a60

200641120 has 48 divisors (see below), whose sum is σ = 484118208. Its totient is φ = 78545920.

The previous prime is 200641109. The next prime is 200641127. The reversal of 200641120 is 21146002.

200641120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200641094 and 200641103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200641127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5821 + ... + 20860.

It is an arithmetic number, because the mean of its divisors is an integer number (10085796).

Almost surely, 2200641120 is an apocalyptic number.

200641120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200641120 is an abundant number, since it is smaller than the sum of its proper divisors (283477088).

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

200641120 is a wasteful number, since it uses less digits than its factorization.

200641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26743 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 200641120 is about 14164.7845024201. The cubic root of 200641120 is about 585.4277632059.

Adding to 200641120 its reverse (21146002), we get a palindrome (221787122).

The spelling of 200641120 in words is "two hundred million, six hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 26681 53362 106724 133405 213448 266810 426896 533620 853792 1067240 1254007 2134480 2508014 4268960 5016028 6270035 10032056 12540070 20064112 25080140 40128224 50160280 100320560 200641120