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80825360 = 24571113121
BaseRepresentation
bin1001101000101…
…00110000010000
312122002100112212
410310110300100
5131142402420
612004211252
72001001310
oct464246020
9178070485
1080825360
1141695320
1223099b28
131398bc75
14aa3d440
1571683c5
hex4d14c10

80825360 has 80 divisors (see below), whose sum is σ = 234306432. Its totient is φ = 25190400.

The previous prime is 80825359. The next prime is 80825363. The reversal of 80825360 is 6352808.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (80825363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401 + ... + 12720.

Almost surely, 280825360 is an apocalyptic number.

80825360 is a gapful number since it is divisible by the number (80) 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 80825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117153216).

80825360 is an abundant number, since it is smaller than the sum of its proper divisors (153481072).

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

80825360 is a wasteful number, since it uses less digits than its factorization.

80825360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13146 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 80825360 is about 8990.2925425150. The cubic root of 80825360 is about 432.3636912157.

The spelling of 80825360 in words is "eighty million, eight hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 13121 26242 52484 65605 91847 104968 131210 144331 183694 209936 262420 288662 367388 459235 524840 577324 721655 734776 918470 1010317 1049680 1154648 1443310 1469552 1836940 2020634 2309296 2886620 3673880 4041268 5051585 5773240 7347760 8082536 10103170 11546480 16165072 20206340 40412680 80825360