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8021268 = 2234191303
BaseRepresentation
bin11110100110010100010100
3120002112010000
4132212110110
54023140033
6443531300
7125115423
oct36462424
916075100
108021268
114589552
122829b30
13187b018
1410cb2ba
15a86a13
hex7a6514

8021268 has 60 divisors (see below), whose sum is σ = 22089760. Its totient is φ = 2531088.

The previous prime is 8021257. The next prime is 8021269. The reversal of 8021268 is 8621208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021269) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5505 + ... + 6807.

Almost surely, 28021268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044880).

8021268 is an abundant number, since it is smaller than the sum of its proper divisors (14068492).

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

8021268 is a wasteful number, since it uses less digits than its factorization.

8021268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8021268 is about 2832.1843160359. The cubic root of 8021268 is about 200.1770765066.

The spelling of 8021268 in words is "eight million, twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1303 1539 2052 2606 3078 3909 5212 6156 7818 11727 15636 23454 24757 35181 46908 49514 70362 74271 99028 105543 140724 148542 211086 222813 297084 422172 445626 668439 891252 1336878 2005317 2673756 4010634 8021268