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144506460 = 223571737547
BaseRepresentation
bin10001001110011…
…11111001011100
3101001220200121010
420213033321130
5243443201320
622201135220
73403166430
oct1047177134
9331820533
10144506460
117462a92a
124048a510
1323c275a7
14152989c0
15ca46ae0
hex89cfe5c

144506460 has 192 divisors, whose sum is σ = 503774208. Its totient is φ = 30191616.

The previous prime is 144506441. The next prime is 144506489. The reversal of 144506460 is 64605441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263907 + ... + 264453.

It is an arithmetic number, because the mean of its divisors is an integer number (2623824).

Almost surely, 2144506460 is an apocalyptic number.

144506460 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 144506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251887104).

144506460 is an abundant number, since it is smaller than the sum of its proper divisors (359267748).

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

144506460 is a wasteful number, since it uses less digits than its factorization.

144506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144506460 is about 12021.0839777451. The cubic root of 144506460 is about 524.7620508993.

It can be divided in two parts, 14450 and 6460, that added together give a triangular number (20910 = T204).

The spelling of 144506460 in words is "one hundred forty-four million, five hundred six thousand, four hundred sixty".