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8069120 = 2135197
BaseRepresentation
bin11110110010000000000000
3120011221202022
4132302000000
54031202440
6444541012
7125405063
oct36620000
916157668
108069120
1146114a4
122851768
131896a37
1411008da
15a95cb5
hex7b2000

8069120 has 56 divisors (see below), whose sum is σ = 19463004. Its totient is φ = 3211264.

The previous prime is 8069119. The next prime is 8069143. The reversal of 8069120 is 219608.

It can be written as a sum of positive squares in 2 ways, for example, as 7573504 + 495616 = 2752^2 + 704^2 .

It is a super-2 number, since 2×80691202 = 130221395148800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8069120.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40862 + ... + 41058.

Almost surely, 28069120 is an apocalyptic number.

8069120 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 8069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731502).

8069120 is an abundant number, since it is smaller than the sum of its proper divisors (11393884).

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

8069120 is an equidigital number, since it uses as much as digits as its factorization.

8069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8069120 is about 2840.6196507100. The cubic root of 8069120 is about 200.5743490370.

The spelling of 8069120 in words is "eight million, sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 512 640 788 985 1024 1280 1576 1970 2048 2560 3152 3940 4096 5120 6304 7880 8192 10240 12608 15760 20480 25216 31520 40960 50432 63040 100864 126080 201728 252160 403456 504320 806912 1008640 1613824 2017280 4034560 8069120