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144172260 = 223253532269
BaseRepresentation
bin10001001011111…
…10010011100100
3101001021201011100
420211332103210
5243402003020
622150040100
73400305201
oct1045762344
9331251140
10144172260
1174421831
1240349030
1323b3b43b
141520cca8
15c9cca90
hex897e4e4

144172260 has 72 divisors (see below), whose sum is σ = 438754680. Its totient is φ = 38320128.

The previous prime is 144172213. The next prime is 144172261. The reversal of 144172260 is 62271441.

144172260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 144144036 = 168^2 + 12006^2 .

It is not an unprimeable number, because it can be changed into a prime (144172261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62406 + ... + 64674.

It is an arithmetic number, because the mean of its divisors is an integer number (6093815).

Almost surely, 2144172260 is an apocalyptic number.

144172260 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 144172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219377340).

144172260 is an abundant number, since it is smaller than the sum of its proper divisors (294582420).

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

144172260 is a wasteful number, since it uses less digits than its factorization.

144172260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144172260 is about 12007.1753547618. The cubic root of 144172260 is about 524.3571996829.

The spelling of 144172260 in words is "one hundred forty-four million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 2269 3177 3530 4236 4538 5295 6354 6807 7060 9076 10590 11345 12708 13614 15885 20421 21180 22690 27228 31770 34035 40842 45380 63540 68070 81684 102105 136140 204210 408420 800957 1601914 2402871 3203828 4004785 4805742 7208613 8009570 9611484 12014355 14417226 16019140 24028710 28834452 36043065 48057420 72086130 144172260