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422064 = 2433977
BaseRepresentation
bin1100111000010110000
3210102222000
41213002300
5102001224
613014000
73405336
oct1470260
9712860
10422064
11269115
12184300
1311a156
14adb56
15850c9
hex670b0

422064 has 40 divisors (see below), whose sum is σ = 1212720. Its totient is φ = 140544.

The previous prime is 422063. The next prime is 422069. The reversal of 422064 is 460224.

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

It is not an unprimeable number, because it can be changed into a prime (422063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (30318).

2422064 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 422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606360).

422064 is an abundant number, since it is smaller than the sum of its proper divisors (790656).

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

422064 is a wasteful number, since it uses less digits than its factorization.

422064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 422064 is about 649.6645288147. The cubic root of 422064 is about 75.0111983279.

Adding to 422064 its reverse (460224), we get a palindrome (882288).

The spelling of 422064 in words is "four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 977 1954 2931 3908 5862 7816 8793 11724 15632 17586 23448 26379 35172 46896 52758 70344 105516 140688 211032 422064