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83160 = 23335711
BaseRepresentation
bin10100010011011000
311020002000
4110103120
510130120
61441000
7464310
oct242330
9136060
1083160
1157530
1240160
132bb0c
1422440
1519990
hex144d8

83160 has 128 divisors (see below), whose sum is σ = 345600. Its totient is φ = 17280.

The previous prime is 83137. The next prime is 83177. The reversal of 83160 is 6138.

Adding to 83160 its reverse (6138), we get a palindrome (89298).

It can be divided in two parts, 83 and 160, that added together give a 5-th power (243 = 35).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

83160 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 7555 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

83160 is a highly composite number, because it has more divisors than any smaller number.

283160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

83160 is an abundant number, since it is smaller than the sum of its proper divisors (262440).

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

83160 is a wasteful number, since it uses less digits than its factorization.

83160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83160 is about 288.3747561767. The cubic root of 83160 is about 43.6487180927.

The spelling of 83160 in words is "eighty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 54 55 56 60 63 66 70 72 77 84 88 90 99 105 108 110 120 126 132 135 140 154 165 168 180 189 198 210 216 220 231 252 264 270 280 297 308 315 330 360 378 385 396 420 440 462 495 504 540 594 616 630 660 693 756 770 792 840 924 945 990 1080 1155 1188 1260 1320 1386 1485 1512 1540 1848 1890 1980 2079 2310 2376 2520 2772 2970 3080 3465 3780 3960 4158 4620 5544 5940 6930 7560 8316 9240 10395 11880 13860 16632 20790 27720 41580 83160