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32068080 = 24325114049
BaseRepresentation
bin111101001010…
…1000111110000
32020100020010200
41322111013300
531202134310
63103155200
7536400642
oct172250760
966306120
1032068080
1117113250
12a8a5b00
13684a3c5
14438a892
152c369c0
hex1e951f0

32068080 has 120 divisors (see below), whose sum is σ = 117514800. Its totient is φ = 7772160.

The previous prime is 32068061. The next prime is 32068087. The reversal of 32068080 is 8086023.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32068087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5896 + ... + 9944.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 232068080 is an apocalyptic number.

32068080 is a gapful number since it is divisible by the number (30) 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 32068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58757400).

32068080 is an abundant number, since it is smaller than the sum of its proper divisors (85446720).

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

32068080 is a wasteful number, since it uses less digits than its factorization.

32068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32068080 is about 5662.8685310539. The cubic root of 32068080 is about 317.7051972983.

The spelling of 32068080 in words is "thirty-two million, sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 4049 7920 8098 12147 16196 20245 24294 32392 36441 40490 44539 48588 60735 64784 72882 80980 89078 97176 121470 133617 145764 161960 178156 182205 194352 222695 242940 267234 291528 323920 356312 364410 400851 445390 485880 534468 583056 668085 712624 728820 801702 890780 971760 1068936 1336170 1457640 1603404 1781560 2004255 2137872 2672340 2915280 3206808 3563120 4008510 5344680 6413616 8017020 10689360 16034040 32068080