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205135140 = 22357488417
BaseRepresentation
bin11000011101000…
…01110100100100
3112021222221111210
430032201310210
5410003311030
632204431420
75040422430
oct1416416444
9467887453
10205135140
11a5880081
1258848570
1333664752
141d35b9c0
1513020bb0
hexc3a1d24

205135140 has 48 divisors (see below), whose sum is σ = 656433792. Its totient is φ = 46887936.

The previous prime is 205135129. The next prime is 205135163. The reversal of 205135140 is 41531502.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 243789 + ... + 244628.

It is an arithmetic number, because the mean of its divisors is an integer number (13675704).

Almost surely, 2205135140 is an apocalyptic number.

205135140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205135140 is an abundant number, since it is smaller than the sum of its proper divisors (451298652).

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

205135140 is a wasteful number, since it uses less digits than its factorization.

205135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488436 (or 488434 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 205135140 is about 14322.5395792785. The cubic root of 205135140 is about 589.7663922429.

Adding to 205135140 its reverse (41531502), we get a palindrome (246666642).

The spelling of 205135140 in words is "two hundred five million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 488417 976834 1465251 1953668 2442085 2930502 3418919 4884170 5861004 6837838 7326255 9768340 10256757 13675676 14652510 17094595 20513514 29305020 34189190 41027028 51283785 68378380 102567570 205135140