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134022000 = 2435373191
BaseRepresentation
bin1111111110100…
…00001101110000
3100100012000121210
413333100031300
5233302201000
621144320120
73215111460
oct777201560
9310160553
10134022000
1169719792
1238a73040
13219c6378
1413b29ba0
15bb75350
hex7fd0370

134022000 has 160 divisors (see below), whose sum is σ = 493968384. Its totient is φ = 30624000.

The previous prime is 134021983. The next prime is 134022011. The reversal of 134022000 is 220431.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 40405 + ... + 43595.

Almost surely, 2134022000 is an apocalyptic number.

134022000 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 134022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

134022000 is an abundant number, since it is smaller than the sum of its proper divisors (359946384).

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

134022000 is a wasteful number, since it uses less digits than its factorization.

134022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 134022000 is about 11576.7871190586. The cubic root of 134022000 is about 511.7509978997.

Adding to 134022000 its reverse (220431), we get a palindrome (134242431).

The spelling of 134022000 in words is "one hundred thirty-four million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3191 3500 4200 5250 6000 6382 7000 8400 9573 10500 12764 14000 15955 19146 21000 22337 25528 31910 38292 42000 44674 47865 51056 63820 67011 76584 79775 89348 95730 111685 127640 134022 153168 159550 178696 191460 223370 239325 255280 268044 319100 335055 357392 382920 398875 446740 478650 536088 558425 638200 670110 765840 797750 893480 957300 1072176 1116850 1196625 1276400 1340220 1595500 1675275 1786960 1914600 2233700 2393250 2680440 2792125 3191000 3350550 3829200 4467400 4786500 5360880 5584250 6382000 6701100 8376375 8934800 9573000 11168500 13402200 16752750 19146000 22337000 26804400 33505500 44674000 67011000 134022000