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205730740 = 22510286537
BaseRepresentation
bin11000100001100…
…11001110110100
3112100010012112001
430100303032310
5410131340430
632225305044
75045453035
oct1420631664
9470105461
10205730740
11a6147606
1258a95184
1333812887
141d474a8c
15130dc3ca
hexc4333b4

205730740 has 12 divisors (see below), whose sum is σ = 432034596. Its totient is φ = 82292288.

The previous prime is 205730731. The next prime is 205730741. The reversal of 205730740 is 47037502.

It can be written as a sum of positive squares in 2 ways, for example, as 97653924 + 108076816 = 9882^2 + 10396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205730699 and 205730708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205730741) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5143249 + ... + 5143288.

It is an arithmetic number, because the mean of its divisors is an integer number (36002883).

Almost surely, 2205730740 is an apocalyptic number.

205730740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205730740 is an abundant number, since it is smaller than the sum of its proper divisors (226303856).

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

205730740 is a wasteful number, since it uses less digits than its factorization.

205730740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286546 (or 10286544 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 205730740 is about 14343.3169106731. The cubic root of 205730740 is about 590.3366268215.

The spelling of 205730740 in words is "two hundred five million, seven hundred thirty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 10286537 20573074 41146148 51432685 102865370 205730740