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144456 = 23313463
BaseRepresentation
bin100011010001001000
321100011020
4203101020
514110311
63032440
71141104
oct432110
9240136
10144456
1199594
126b720
13509a0
143a904
152cc06
hex23448

144456 has 32 divisors (see below), whose sum is σ = 389760. Its totient is φ = 44352.

The previous prime is 144451. The next prime is 144461. The reversal of 144456 is 654441.

It is an interprime number because it is at equal distance from previous prime (144451) and next prime (144461).

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

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144451) 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, 81 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (12180).

2144456 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 144456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194880).

144456 is an abundant number, since it is smaller than the sum of its proper divisors (245304).

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

144456 is a wasteful number, since it uses less digits than its factorization.

144456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 144456 is about 380.0736770680. The cubic root of 144456 is about 52.4700963490.

Adding to 144456 its reverse (654441), we get a palindrome (798897).

The spelling of 144456 in words is "one hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 463 926 1389 1852 2778 3704 5556 6019 11112 12038 18057 24076 36114 48152 72228 144456