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144082580 = 225231033041
BaseRepresentation
bin10001001011010…
…00011010010100
3101001010011010212
420211220122110
5243341120310
622144104552
73366452555
oct1045503224
9331104125
10144082580
1174370414
1240305158
1323b09685
14151c832c
15c9b1205
hex8968694

144082580 has 48 divisors (see below), whose sum is σ = 318898944. Its totient is φ = 54574080.

The previous prime is 144082579. The next prime is 144082583. The reversal of 144082580 is 85280441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144082583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45860 + ... + 48900.

It is an arithmetic number, because the mean of its divisors is an integer number (6643728).

Almost surely, 2144082580 is an apocalyptic number.

144082580 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 144082580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472).

144082580 is an abundant number, since it is smaller than the sum of its proper divisors (174816364).

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

144082580 is a wasteful number, since it uses less digits than its factorization.

144082580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 144082580 is about 12003.4403401691. The cubic root of 144082580 is about 524.2484545210.

The spelling of 144082580 in words is "one hundred forty-four million, eighty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 515 1030 2060 2369 3041 4738 6082 9476 11845 12164 15205 23690 30410 47380 60820 69943 139886 279772 313223 349715 626446 699430 1252892 1398860 1566115 3132230 6264460 7204129 14408258 28816516 36020645 72041290 144082580