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159744 = 212313
BaseRepresentation
bin100111000000000000
322010010110
4213000000
520102434
63231320
71233504
oct470000
9263113
10159744
11aa022
1278540
1357930
1442304
15324e9
hex27000

159744 has 52 divisors (see below), whose sum is σ = 458696. Its totient is φ = 49152.

The previous prime is 159739. The next prime is 159763. The reversal of 159744 is 447951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (52).

Its product of digits (5040) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is an unprimeable number.

159744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12282 + ... + 12294.

159744 is a Friedman number, since it can be written as (147+9)*4^5, using all its digits and the basic arithmetic operations.

2159744 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 159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229348).

159744 is an abundant number, since it is smaller than the sum of its proper divisors (298952).

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

159744 is an equidigital number, since it uses as much as digits as its factorization.

159744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 159744 is about 399.6798718975. The cubic root of 159744 is about 54.2593830882.

It can be divided in two parts, 159 and 744, that added together give a triangular number (903 = T42).

The spelling of 159744 in words is "one hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 53248 79872 159744