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8021322 = 233413623
BaseRepresentation
bin11110100110010101001010
3120002112012000
4132212111022
54023140242
6443531430
7125115531
oct36462512
916075160
108021322
1145895a1
122829b76
13187b05a
1410cb318
15a86a4c
hex7a654a

8021322 has 32 divisors (see below), whose sum is σ = 18264960. Its totient is φ = 2607840.

The previous prime is 8021291. The next prime is 8021323. The reversal of 8021322 is 2231208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8021295 and 8021304.

It is not an unprimeable number, because it can be changed into a prime (8021323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (570780).

Almost surely, 28021322 is an apocalyptic number.

8021322 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132480).

8021322 is an abundant number, since it is smaller than the sum of its proper divisors (10243638).

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

8021322 is a wasteful number, since it uses less digits than its factorization.

8021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8021322 is about 2832.1938492977. The cubic root of 8021322 is about 200.1775257098.

The spelling of 8021322 in words is "eight million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 3623 7246 10869 21738 32607 65214 97821 148543 195642 297086 445629 891258 1336887 2673774 4010661 8021322