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842064 = 24353331
BaseRepresentation
bin11001101100101010000
31120210002120
43031211100
5203421224
630014240
710104666
oct3154520
91523076
10842064
11525723
12347380
13236382
1417cc36
15119779
hexcd950

842064 has 40 divisors (see below), whose sum is σ = 2223072. Its totient is φ = 274560.

The previous prime is 842063. The next prime is 842071. The reversal of 842064 is 460248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842063) 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, 2379 + ... + 2709.

2842064 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 842064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111536).

842064 is an abundant number, since it is smaller than the sum of its proper divisors (1381008).

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

842064 is a wasteful number, since it uses less digits than its factorization.

842064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 842064 is about 917.6404524649. The cubic root of 842064 is about 94.4310967168.

The spelling of 842064 in words is "eight hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 331 424 636 662 848 993 1272 1324 1986 2544 2648 3972 5296 7944 15888 17543 35086 52629 70172 105258 140344 210516 280688 421032 842064