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134493000 = 23353127353
BaseRepresentation
bin10000000010000…
…11001101001000
3100101001221201020
420001003031020
5233412234000
621202352440
73222112605
oct1001031510
9311057636
10134493000
1169a10644
123905b720
1321b2c875
1413c0d6ac
15bc19ba0
hex8043348

134493000 has 128 divisors (see below), whose sum is σ = 424120320. Its totient is φ = 35481600.

The previous prime is 134492947. The next prime is 134493017. The reversal of 134493000 is 394431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380824 + ... + 381176.

It is an arithmetic number, because the mean of its divisors is an integer number (3313440).

Almost surely, 2134493000 is an apocalyptic number.

134493000 is a gapful number since it is divisible by the number (10) 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 134493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212060160).

134493000 is an abundant number, since it is smaller than the sum of its proper divisors (289627320).

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

134493000 is a wasteful number, since it uses less digits than its factorization.

134493000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 134493000 is about 11597.1117093870. Note that the first 3 decimals coincide. The cubic root of 134493000 is about 512.3497874269.

The spelling of 134493000 in words is "one hundred thirty-four million, four hundred ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 353 375 381 500 508 600 635 706 750 762 1000 1016 1059 1270 1412 1500 1524 1765 1905 2118 2540 2824 3000 3048 3175 3530 3810 4236 5080 5295 6350 7060 7620 8472 8825 9525 10590 12700 14120 15240 15875 17650 19050 21180 25400 26475 31750 35300 38100 42360 44125 44831 47625 52950 63500 70600 76200 88250 89662 95250 105900 127000 132375 134493 176500 179324 190500 211800 224155 264750 268986 353000 358648 381000 448310 529500 537972 672465 896620 1059000 1075944 1120775 1344930 1793240 2241550 2689860 3362325 4483100 5379720 5603875 6724650 8966200 11207750 13449300 16811625 22415500 26898600 33623250 44831000 67246500 134493000