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205591040 = 29580309
BaseRepresentation
bin11000100000100…
…01001000000000
3112022212002212222
430100101020000
5410112403130
632222310212
75044331534
oct1420211000
9468762788
10205591040
11a6061656
1258a28368
1333794105
141d439bc4
15130b0ce5
hexc411200

205591040 has 40 divisors (see below), whose sum is σ = 492942780. Its totient is φ = 82235392.

The previous prime is 205591037. The next prime is 205591049. The reversal of 205591040 is 40195502.

It can be written as a sum of positive squares in 2 ways, for example, as 202322176 + 3268864 = 14224^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (205591049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37595 + ... + 42714.

Almost surely, 2205591040 is an apocalyptic number.

205591040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205591040 is an abundant number, since it is smaller than the sum of its proper divisors (287351740).

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

205591040 is an frugal number, since it uses more digits than its factorization.

205591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80332 (or 80316 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 205591040 is about 14338.4462198664. The cubic root of 205591040 is about 590.2029752652.

The spelling of 205591040 in words is "two hundred five million, five hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 80309 160618 321236 401545 642472 803090 1284944 1606180 2569888 3212360 5139776 6424720 10279552 12849440 20559104 25698880 41118208 51397760 102795520 205591040