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8112320 = 265101251
BaseRepresentation
bin11110111100100011000000
3120021011000022
4132330203000
54034043240
6445513012
7125645036
oct36744300
916234008
108112320
1146409a7
122872768
1318b05b8
141112556
15aa39b5
hex7bc8c0

8112320 has 56 divisors (see below), whose sum is σ = 19586448. Its totient is φ = 3200000.

The previous prime is 8112319. The next prime is 8112331. The reversal of 8112320 is 232118.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32195 + ... + 32445.

It is an arithmetic number, because the mean of its divisors is an integer number (349758).

Almost surely, 28112320 is an apocalyptic number.

8112320 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 8112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9793224).

8112320 is an abundant number, since it is smaller than the sum of its proper divisors (11474128).

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

8112320 is a wasteful number, since it uses less digits than its factorization.

8112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8112320 is about 2848.2134751454. The cubic root of 8112320 is about 200.9316533712.

Adding to 8112320 its reverse (232118), we get a palindrome (8344438).

The spelling of 8112320 in words is "eight million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 251 320 404 502 505 808 1004 1010 1255 1616 2008 2020 2510 3232 4016 4040 5020 6464 8032 8080 10040 16064 16160 20080 25351 32320 40160 50702 80320 101404 126755 202808 253510 405616 507020 811232 1014040 1622464 2028080 4056160 8112320