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639144 = 233311269
BaseRepresentation
bin10011100000010101000
31012110202000
42130002220
5130423034
621411000
75301252
oct2340250
91173660
10639144
113a7220
12269a60
13194bbc
14128cd2
15c9599
hex9c0a8

639144 has 64 divisors (see below), whose sum is σ = 1944000. Its totient is φ = 192960.

The previous prime is 639143. The next prime is 639151. The reversal of 639144 is 441936.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 639144.

It is not an unprimeable number, because it can be changed into a prime (639143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2242 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2639144 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 639144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972000).

639144 is an abundant number, since it is smaller than the sum of its proper divisors (1304856).

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

639144 is a wasteful number, since it uses less digits than its factorization.

639144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 639144 is about 799.4648209896. The cubic root of 639144 is about 86.1389497073.

The spelling of 639144 in words is "six hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 269 297 396 538 594 792 807 1076 1188 1614 2152 2376 2421 2959 3228 4842 5918 6456 7263 8877 9684 11836 14526 17754 19368 23672 26631 29052 35508 53262 58104 71016 79893 106524 159786 213048 319572 639144