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144302060 = 22572229643
BaseRepresentation
bin10001001100111…
…01111111101100
3101001112022012202
420212131333230
5243420131220
622152521032
73401355500
oct1046357754
9331468182
10144302060
1174500301
12403b0178
1323b85546
1415244300
15ca06275
hex899dfec

144302060 has 72 divisors (see below), whose sum is σ = 354599280. Its totient is φ = 49182336.

The previous prime is 144301991. The next prime is 144302063. The reversal of 144302060 is 60203441.

It is a happy number.

144302060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144302063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224099 + ... + 224741.

It is an arithmetic number, because the mean of its divisors is an integer number (4924990).

Almost surely, 2144302060 is an apocalyptic number.

144302060 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 144302060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177299640).

144302060 is an abundant number, since it is smaller than the sum of its proper divisors (210297220).

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

144302060 is a wasteful number, since it uses less digits than its factorization.

144302060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144302060 is about 12012.5792401133. The cubic root of 144302060 is about 524.5145141556.

The spelling of 144302060 in words is "one hundred forty-four million, three hundred two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 643 916 980 1145 1286 1603 2290 2572 3206 3215 4501 4580 6412 6430 8015 9002 11221 12860 16030 18004 22442 22505 31507 32060 44884 45010 56105 63014 90020 112210 126028 147247 157535 224420 294494 315070 588988 630140 736235 1030729 1472470 2061458 2944940 4122916 5153645 7215103 10307290 14430206 20614580 28860412 36075515 72151030 144302060