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144896 = 29283
BaseRepresentation
bin100011011000000000
321100202112
4203120000
514114041
63034452
71142303
oct433000
9240675
10144896
1199954
126ba28
1350c4b
143ab3a
152cdeb
hex23600

144896 has 20 divisors (see below), whose sum is σ = 290532. Its totient is φ = 72192.

The previous prime is 144889. The next prime is 144899. The reversal of 144896 is 698441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371 + ... + 653.

2144896 is an apocalyptic number.

144896 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 144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145266).

144896 is an abundant number, since it is smaller than the sum of its proper divisors (145636).

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

144896 is an frugal number, since it uses more digits than its factorization.

144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 144896 is about 380.6520721079. The cubic root of 144896 is about 52.5233154188.

The spelling of 144896 in words is "one hundred forty-four thousand, eight hundred ninety-six".