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134617280 = 2657193163
BaseRepresentation
bin10000000011000…
…01100011000000
3100101022021012012
420001201203000
5233430223110
621205152052
73223141130
oct1001414300
9311267165
10134617280
1169a95a56
12390bb628
1321b742c5
1413c42ac0
15bc41905
hex80618c0

134617280 has 112 divisors (see below), whose sum is σ = 385754880. Its totient is φ = 43711488.

The previous prime is 134617267. The next prime is 134617319. The reversal of 134617280 is 82716431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40979 + ... + 44141.

It is an arithmetic number, because the mean of its divisors is an integer number (3444240).

Almost surely, 2134617280 is an apocalyptic number.

134617280 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 134617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192877440).

134617280 is an abundant number, since it is smaller than the sum of its proper divisors (251137600).

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

134617280 is a wasteful number, since it uses less digits than its factorization.

134617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 134617280 is about 11602.4687028236. The cubic root of 134617280 is about 512.5075533291.

The spelling of 134617280 in words is "one hundred thirty-four million, six hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 3163 4256 5320 6080 6326 8512 10640 12652 15815 21280 22141 25304 31630 42560 44282 50608 60097 63260 88564 101216 110705 120194 126520 177128 202432 221410 240388 253040 300485 354256 420679 442820 480776 506080 600970 708512 841358 885640 961552 1012160 1201940 1417024 1682716 1771280 1923104 2103395 2403880 3365432 3542560 3846208 4206790 4807760 6730864 7085120 8413580 9615520 13461728 16827160 19231040 26923456 33654320 67308640 134617280