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144531030 = 23573112213
BaseRepresentation
bin10001001110101…
…01111001010110
3101001221221022010
420213111321112
5243444443110
622201445050
73403331160
oct1047257126
9331857263
10144531030
1174647336
12404a0786
1323c35827
14152a3930
15ca4e020
hex89d5e56

144531030 has 64 divisors (see below), whose sum is σ = 397882368. Its totient is φ = 32914560.

The previous prime is 144531029. The next prime is 144531031. The reversal of 144531030 is 30135441.

144531030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144531029) and next prime (144531031).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144530988 and 144531006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144531031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64204 + ... + 66416.

It is an arithmetic number, because the mean of its divisors is an integer number (6216912).

Almost surely, 2144531030 is an apocalyptic number.

144531030 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 144531030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198941184).

144531030 is an abundant number, since it is smaller than the sum of its proper divisors (253351338).

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

144531030 is a wasteful number, since it uses less digits than its factorization.

144531030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 144531030 is about 12022.1058887368. The cubic root of 144531030 is about 524.7917904530.

Adding to 144531030 its reverse (30135441), we get a palindrome (174666471).

The spelling of 144531030 in words is "one hundred forty-four million, five hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 2177 2213 3110 4354 4426 4665 6531 6639 9330 10885 11065 13062 13278 15491 21770 22130 30982 32655 33195 46473 65310 66390 77455 92946 154910 232365 464730 688243 1376486 2064729 3441215 4129458 4817701 6882430 9635402 10323645 14453103 20647290 24088505 28906206 48177010 72265515 144531030