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144460530 = 23352272357
BaseRepresentation
bin10001001110001…
…00101011110010
3101001211100121000
420213010223302
5243440214110
622200142430
73402615504
oct1047045362
9331740530
10144460530
11745a9375
1240467a16
1323c0c706
1415285d74
15ca381c0
hex89c4af2

144460530 has 64 divisors (see below), whose sum is σ = 387089280. Its totient is φ = 38336832.

The previous prime is 144460501. The next prime is 144460531. The reversal of 144460530 is 35064441.

144460530 is a `hidden beast` number, since 14 + 44 + 605 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144460494 and 144460503.

It is not an unprimeable number, because it can be changed into a prime (144460531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60112 + ... + 62468.

It is an arithmetic number, because the mean of its divisors is an integer number (6048270).

Almost surely, 2144460530 is an apocalyptic number.

144460530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144460530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193544640).

144460530 is an abundant number, since it is smaller than the sum of its proper divisors (242628750).

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

144460530 is a wasteful number, since it uses less digits than its factorization.

144460530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144460530 is about 12019.1734324786. The cubic root of 144460530 is about 524.7064481370.

It can be divided in two parts, 14 and 4460530, that added together give a square (4460544 = 21122).

The spelling of 144460530 in words is "one hundred forty-four million, four hundred sixty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 227 270 454 681 1135 1362 2043 2270 2357 3405 4086 4714 6129 6810 7071 10215 11785 12258 14142 20430 21213 23570 30645 35355 42426 61290 63639 70710 106065 127278 212130 318195 535039 636390 1070078 1605117 2675195 3210234 4815351 5350390 8025585 9630702 14446053 16051170 24076755 28892106 48153510 72230265 144460530