Search a number
-
+
134794680 = 233543151173
BaseRepresentation
bin10000000100011…
…00110110111000
3100101122021112120
420002030312320
5234001412210
621213041240
73224510256
oct1002146670
9311567476
10134794680
116a0a7269
1239186220
1321c06c87
1413c8b5d6
15bc79270
hex808cdb8

134794680 has 128 divisors (see below), whose sum is σ = 418936320. Its totient is φ = 34675200.

The previous prime is 134794679. The next prime is 134794691. The reversal of 134794680 is 86497431.

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, 779074 + ... + 779246.

It is an arithmetic number, because the mean of its divisors is an integer number (3272940).

Almost surely, 2134794680 is an apocalyptic number.

134794680 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 134794680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209468160).

134794680 is an abundant number, since it is smaller than the sum of its proper divisors (284141640).

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

134794680 is a wasteful number, since it uses less digits than its factorization.

134794680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 134794680 is about 11610.1111105794. Note that the first 5 decimals coincide. The cubic root of 134794680 is about 512.7325837047.

The spelling of 134794680 in words is "one hundred thirty-four million, seven hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 151 172 173 215 258 302 344 346 430 453 516 519 604 645 692 755 860 865 906 1032 1038 1208 1290 1384 1510 1720 1730 1812 2076 2265 2580 2595 3020 3460 3624 4152 4530 5160 5190 6040 6493 6920 7439 9060 10380 12986 14878 18120 19479 20760 22317 25972 26123 29756 32465 37195 38958 44634 51944 52246 59512 64930 74390 77916 78369 89268 97395 104492 111585 129860 130615 148780 155832 156738 178536 194790 208984 223170 259720 261230 297560 313476 389580 391845 446340 522460 626952 779160 783690 892680 1044920 1123289 1567380 2246578 3134760 3369867 4493156 5616445 6739734 8986312 11232890 13479468 16849335 22465780 26958936 33698670 44931560 67397340 134794680