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205027040 = 2551916709
BaseRepresentation
bin11000011100001…
…11011011100000
3112021210110020002
430032013123200
5404441331130
632202235132
75036462321
oct1416073340
9467713202
10205027040
11a5806939
12587b5aa8
133362749a
141d330448
1512eedb45
hexc3876e0

205027040 has 48 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 81569280.

The previous prime is 205027003. The next prime is 205027063. The reversal of 205027040 is 40720502.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27206 + ... + 33914.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2205027040 is an apocalyptic number.

205027040 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 205027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

205027040 is an abundant number, since it is smaller than the sum of its proper divisors (281957920).

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

205027040 is a wasteful number, since it uses less digits than its factorization.

205027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 205027040 is about 14318.7653099002. The cubic root of 205027040 is about 589.6627777037.

Adding to 205027040 its reverse (40720502), we get a palindrome (245747542).

The spelling of 205027040 in words is "two hundred five million, twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 6709 7640 13418 15280 26836 30560 33545 53672 67090 107344 134180 214688 268360 536720 1073440 1281419 2562838 5125676 6407095 10251352 12814190 20502704 25628380 41005408 51256760 102513520 205027040