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144701260 = 225111275179
BaseRepresentation
bin10001001111111…
…11011101001100
3101002021120210221
420213333131030
5244020420020
622205241124
73404640364
oct1047773514
9332246727
10144701260
1174753220
12405631a4
1323c95162
14153099a4
15ca846aa
hex89ff74c

144701260 has 48 divisors (see below), whose sum is σ = 334172160. Its totient is φ = 52194240.

The previous prime is 144701209. The next prime is 144701261. The reversal of 144701260 is 62107441.

144701260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144701261) 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 15 ways as a sum of consecutive naturals, for example, 25351 + ... + 30529.

It is an arithmetic number, because the mean of its divisors is an integer number (6961920).

Almost surely, 2144701260 is an apocalyptic number.

144701260 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 144701260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167086080).

144701260 is an abundant number, since it is smaller than the sum of its proper divisors (189470900).

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

144701260 is a wasteful number, since it uses less digits than its factorization.

144701260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 144701260 is about 12029.1836797016. The cubic root of 144701260 is about 524.9977445103.

The spelling of 144701260 in words is "one hundred forty-four million, seven hundred one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5179 5588 6985 10358 13970 20716 25895 27940 51790 56969 103580 113938 227876 284845 569690 657733 1139380 1315466 2630932 3288665 6577330 7235063 13154660 14470126 28940252 36175315 72350630 144701260