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159456 = 25311151
BaseRepresentation
bin100110111011100000
322002201210
4212323200
520100311
63230120
71232613
oct467340
9262653
10159456
11a9890
1278340
135776b
144217a
15323a6
hex26ee0

159456 has 48 divisors (see below), whose sum is σ = 459648. Its totient is φ = 48000.

The previous prime is 159437. The next prime is 159457. The reversal of 159456 is 654951.

159456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 159456.

It is not an unprimeable number, because it can be changed into a prime (159457) 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, 981 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2159456 is an apocalyptic number.

159456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

159456 is an abundant number, since it is smaller than the sum of its proper divisors (300192).

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

159456 is a wasteful number, since it uses less digits than its factorization.

159456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 159456 is about 399.3194210153. The cubic root of 159456 is about 54.2267556702.

It can be divided in two parts, 15945 and 6, that added together give a palindrome (15951).

The spelling of 159456 in words is "one hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1661 1812 2416 3322 3624 4832 4983 6644 7248 9966 13288 14496 19932 26576 39864 53152 79728 159456