Search a number
-
+
144608820 = 223523104789
BaseRepresentation
bin10001001111010…
…00111000110100
3101002002220000020
420213220320310
5244004440240
622203245140
73404104026
oct1047507064
9332086006
10144608820
117469a824
12405197b0
1323c62065
14152c4016
15ca670d0
hex89e8e34

144608820 has 48 divisors (see below), whose sum is σ = 422513280. Its totient is φ = 36885376.

The previous prime is 144608773. The next prime is 144608833. The reversal of 144608820 is 28806441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51015 + ... + 53774.

It is an arithmetic number, because the mean of its divisors is an integer number (8802360).

Almost surely, 2144608820 is an apocalyptic number.

144608820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144608820 is an abundant number, since it is smaller than the sum of its proper divisors (277904460).

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

144608820 is a wasteful number, since it uses less digits than its factorization.

144608820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104824 (or 104822 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 144608820 is about 12025.3407436130. The cubic root of 144608820 is about 524.8859253284.

The spelling of 144608820 in words is "one hundred forty-four million, six hundred eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 104789 209578 314367 419156 523945 628734 1047890 1257468 1571835 2095780 2410147 3143670 4820294 6287340 7230441 9640588 12050735 14460882 24101470 28921764 36152205 48202940 72304410 144608820