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205103040 = 2635213649
BaseRepresentation
bin11000011100110…
…01111111000000
3112021221022110220
430032121333000
5410001244130
632204023040
75040230022
oct1416317700
9467838426
10205103040
11a5858a4a
1258831a80
1333652c5c
141d350012
1513016410
hexc399fc0

205103040 has 56 divisors (see below), whose sum is σ = 651205200. Its totient is φ = 54693888.

The previous prime is 205103027. The next prime is 205103047. The reversal of 205103040 is 40301502.

205103040 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 (15).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205103047) 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, 105865 + ... + 107784.

Almost surely, 2205103040 is an apocalyptic number.

205103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205103040 is an abundant number, since it is smaller than the sum of its proper divisors (446102160).

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

205103040 is a wasteful number, since it uses less digits than its factorization.

205103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213669 (or 213659 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205103040 is about 14321.4189241150. The cubic root of 205103040 is about 589.7356279887.

Adding to 205103040 its reverse (40301502), we get a palindrome (245404542).

The spelling of 205103040 in words is "two hundred five million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 213649 427298 640947 854596 1068245 1281894 1709192 2136490 2563788 3204735 3418384 4272980 5127576 6409470 6836768 8545960 10255152 12818940 13673536 17091920 20510304 25637880 34183840 41020608 51275760 68367680 102551520 205103040