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134058120 = 2335733257
BaseRepresentation
bin1111111110110…
…01000010001000
3100100020212011120
413333121002020
5233304324440
621145155240
73215322000
oct777310210
9310225146
10134058120
1169743939
1238a8bb20
1321a09941
1413b39000
15bb80dd0
hex7fd9088

134058120 has 128 divisors (see below), whose sum is σ = 469152000. Its totient is φ = 30632448.

The previous prime is 134058109. The next prime is 134058137. The reversal of 134058120 is 21850431.

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, 39532 + ... + 42788.

It is an arithmetic number, because the mean of its divisors is an integer number (3665250).

Almost surely, 2134058120 is an apocalyptic number.

134058120 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 134058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234576000).

134058120 is an abundant number, since it is smaller than the sum of its proper divisors (335093880).

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

134058120 is a wasteful number, since it uses less digits than its factorization.

134058120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 134058120 is about 11578.3470322840. The cubic root of 134058120 is about 511.7969674314.

The spelling of 134058120 in words is "one hundred thirty-four million, fifty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3257 3430 4116 5145 5880 6514 6860 8232 9771 10290 13028 13720 16285 19542 20580 22799 26056 32570 39084 41160 45598 48855 65140 68397 78168 91196 97710 113995 130280 136794 159593 182392 195420 227990 273588 319186 341985 390840 455980 478779 547176 638372 683970 797965 911960 957558 1117151 1276744 1367940 1595930 1915116 2234302 2393895 2735880 3191860 3351453 3830232 4468604 4787790 5585755 6383720 6702906 8937208 9575580 11171510 13405812 16757265 19151160 22343020 26811624 33514530 44686040 67029060 134058120