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205045340 = 225195310181
BaseRepresentation
bin11000011100010…
…11111001011100
3112021211101022212
430032023321130
5404442422330
632202455552
75036566553
oct1416137134
9467741285
10205045340
11a5819665
12588045b8
1333632906
141d336d9a
1513004295
hexc38be5c

205045340 has 48 divisors (see below), whose sum is σ = 461855520. Its totient is φ = 76227840.

The previous prime is 205045333. The next prime is 205045403. The reversal of 205045340 is 43540502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15050 + ... + 25230.

It is an arithmetic number, because the mean of its divisors is an integer number (9621990).

Almost surely, 2205045340 is an apocalyptic number.

205045340 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 205045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230927760).

205045340 is an abundant number, since it is smaller than the sum of its proper divisors (256810180).

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

205045340 is a wasteful number, since it uses less digits than its factorization.

205045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 205045340 is about 14319.4043172193. The cubic root of 205045340 is about 589.6803209308.

Adding to 205045340 its reverse (43540502), we get a palindrome (248585842).

The spelling of 205045340 in words is "two hundred five million, forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 10070 10181 20140 20362 40724 50905 101810 193439 203620 386878 539593 773756 967195 1079186 1934390 2158372 2697965 3868780 5395930 10252267 10791860 20504534 41009068 51261335 102522670 205045340