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8485120 = 2857947
BaseRepresentation
bin100000010111…
…100100000000
3120222002101201
4200113210000
54133010440
6501510544
7132056650
oct40274400
916862351
108485120
114875aa6
122a12454
1319b11a7
1411ac360
15b2919a
hex817900

8485120 has 72 divisors (see below), whose sum is σ = 23252544. Its totient is φ = 2906112.

The previous prime is 8485093. The next prime is 8485123. The reversal of 8485120 is 215848.

It is a super-2 number, since 2×84851202 = 143994522828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8485123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8487 + ... + 9433.

It is an arithmetic number, because the mean of its divisors is an integer number (322952).

Almost surely, 28485120 is an apocalyptic number.

8485120 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 8485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626272).

8485120 is an abundant number, since it is smaller than the sum of its proper divisors (14767424).

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

8485120 is an equidigital number, since it uses as much as digits as its factorization.

8485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 8485120 is about 2912.9229306660. The cubic root of 8485120 is about 203.9635972467.

The spelling of 8485120 in words is "eight million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 947 1120 1280 1792 1894 2240 3788 4480 4735 6629 7576 8960 9470 13258 15152 18940 26516 30304 33145 37880 53032 60608 66290 75760 106064 121216 132580 151520 212128 242432 265160 303040 424256 530320 606080 848512 1060640 1212160 1697024 2121280 4242560 8485120