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144495560 = 235111971667
BaseRepresentation
bin10001001110011…
…01001111001000
3101001220010122102
420213031033020
5243442324220
622201012532
73403122566
oct1047151710
9331803572
10144495560
1174622720
1240484148
1323c22641
1415294a36
15ca43775
hex89cd3c8

144495560 has 64 divisors (see below), whose sum is σ = 356685120. Its totient is φ = 52245760.

The previous prime is 144495553. The next prime is 144495577. The reversal of 144495560 is 65594441.

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, 85847 + ... + 87513.

It is an arithmetic number, because the mean of its divisors is an integer number (5573205).

Almost surely, 2144495560 is an apocalyptic number.

144495560 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 144495560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178342560).

144495560 is an abundant number, since it is smaller than the sum of its proper divisors (212189560).

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

144495560 is a wasteful number, since it uses less digits than its factorization.

144495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 144495560 is about 12020.6305990992. The cubic root of 144495560 is about 524.7488564484.

The spelling of 144495560 in words is "one hundred forty-four million, four hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1576 1667 1970 2167 3334 3940 4334 6668 7880 8335 8668 10835 13336 16670 17336 18337 21670 33340 36674 43340 66680 73348 86680 91685 146696 183370 328399 366740 656798 733480 1313596 1641995 2627192 3283990 3612389 6567980 7224778 13135960 14449556 18061945 28899112 36123890 72247780 144495560