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134585430 = 23571737699
BaseRepresentation
bin10000000010110…
…01110001010110
3100101020122111120
420001121301112
5233423213210
621204344410
73222646230
oct1001316126
9311218446
10134585430
1169a74031
12390a5106
1321b62965
1413c35250
15bc37270
hex8059c56

134585430 has 64 divisors (see below), whose sum is σ = 390873600. Its totient is φ = 28952064.

The previous prime is 134585419. The next prime is 134585449. The reversal of 134585430 is 34585431.

It is a super-3 number, since 3×1345854303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 134585391 and 134585400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15280 + ... + 22419.

It is an arithmetic number, because the mean of its divisors is an integer number (6107400).

Almost surely, 2134585430 is an apocalyptic number.

134585430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134585430 is an abundant number, since it is smaller than the sum of its proper divisors (256288170).

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

134585430 is a wasteful number, since it uses less digits than its factorization.

134585430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37733.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 134585430 is about 11601.0960689066. The cubic root of 134585430 is about 512.4671309477.

Subtracting from 134585430 its reverse (34585431), we obtain a palindrome (99999999).

The spelling of 134585430 in words is "one hundred thirty-four million, five hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 37699 75398 113097 188495 226194 263893 376990 527786 565485 640883 791679 1130970 1281766 1319465 1583358 1922649 2638930 3204415 3845298 3958395 4486181 6408830 7916790 8972362 9613245 13458543 19226490 22430905 26917086 44861810 67292715 134585430