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8327920 = 245412539
BaseRepresentation
bin11111110001001011110000
3120200002202111
4133301023300
54112443140
6454255104
7130533436
oct37611360
916602674
108327920
114778987
122957494
131957783
14116ad56
15ae77ea
hex7f12f0

8327920 has 40 divisors (see below), whose sum is σ = 19842480. Its totient is φ = 3248640.

The previous prime is 8327887. The next prime is 8327983. The reversal of 8327920 is 297238.

8327920 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2011 + ... + 4549.

It is an arithmetic number, because the mean of its divisors is an integer number (496062).

Almost surely, 28327920 is an apocalyptic number.

8327920 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 8327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921240).

8327920 is an abundant number, since it is smaller than the sum of its proper divisors (11514560).

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

8327920 is a wasteful number, since it uses less digits than its factorization.

8327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 8327920 is about 2885.8135767925. The cubic root of 8327920 is about 202.6961570275.

The spelling of 8327920 in words is "eight million, three hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2539 3280 5078 10156 12695 20312 25390 40624 50780 101560 104099 203120 208198 416396 520495 832792 1040990 1665584 2081980 4163960 8327920