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182795130 = 23457103313
BaseRepresentation
bin10101110010100…
…11101101111010
3110201221221210000
422321103231322
5333243421010
630045533430
74346506260
oct1271235572
9421857700
10182795130
1194201761
1251274276
132bb421cb
141a3c4430
15110ab7c0
hexae53b7a

182795130 has 160 divisors (see below), whose sum is σ = 568998144. Its totient is φ = 41243904.

The previous prime is 182795113. The next prime is 182795131. The reversal of 182795130 is 31597281.

182795130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (182795131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 583854 + ... + 584166.

Almost surely, 2182795130 is an apocalyptic number.

182795130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182795130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284499072).

182795130 is an abundant number, since it is smaller than the sum of its proper divisors (386203014).

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

182795130 is a wasteful number, since it uses less digits than its factorization.

182795130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 182795130 is about 13520.1749249039. The cubic root of 182795130 is about 567.5291943555.

It can be divided in two parts, 18279 and 5130, that added together give a square (23409 = 1532).

The spelling of 182795130 in words is "one hundred eighty-two million, seven hundred ninety-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 103 105 126 135 162 189 206 210 270 309 313 315 378 405 515 567 618 626 630 721 810 927 939 945 1030 1134 1442 1545 1565 1854 1878 1890 2163 2191 2781 2817 2835 3090 3130 3605 4326 4382 4635 4695 5562 5634 5670 6489 6573 7210 8343 8451 9270 9390 10815 10955 12978 13146 13905 14085 16686 16902 19467 19719 21630 21910 25353 27810 28170 32239 32445 32865 38934 39438 41715 42255 50706 58401 59157 64478 64890 65730 83430 84510 96717 97335 98595 116802 118314 126765 161195 177471 193434 194670 197190 225673 253530 290151 292005 295785 322390 354942 451346 483585 580302 584010 591570 677019 870453 887355 967170 1128365 1354038 1450755 1740906 1774710 2031057 2256730 2611359 2901510 3385095 4062114 4352265 5222718 6093171 6770190 8704530 10155285 12186342 13056795 18279513 20310570 26113590 30465855 36559026 60931710 91397565 182795130