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144500 = 2253172
BaseRepresentation
bin100011010001110100
321100012212
4203101310
514111000
63032552
71141166
oct432164
9240185
10144500
1199624
126b758
1350a05
143a936
152cc35
hex23474

144500 has 36 divisors (see below), whose sum is σ = 335244. Its totient is φ = 54400.

The previous prime is 144497. The next prime is 144511. The reversal of 144500 is 5441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

144500 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 131044 = 116^2 + 362^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8492 + ... + 8508.

2144500 is an apocalyptic number.

144500 is a gapful number since it is divisible by the number (10) 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 144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167622).

144500 is an abundant number, since it is smaller than the sum of its proper divisors (190744).

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

144500 is a wasteful number, since it uses less digits than its factorization.

144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 144500 is about 380.1315561750. The cubic root of 144500 is about 52.4754231149.

Multiplying 144500 by its product of nonzero digits (80), we get a square (11560000 = 34002).

Adding to 144500 its reverse (5441), we get a palindrome (149941).

The spelling of 144500 in words is "one hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 289 340 425 500 578 850 1156 1445 1700 2125 2890 4250 5780 7225 8500 14450 28900 36125 72250 144500