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144848720 = 2451810609
BaseRepresentation
bin10001010001000…
…11011101010000
3101002120002002102
420220203131100
5244040124340
622212335532
73406123322
oct1050433520
9332502072
10144848720
1174843a95
12406145a8
1324017303
1415347612
15cab3215
hex8a23750

144848720 has 20 divisors (see below), whose sum is σ = 336773460. Its totient is φ = 57939456.

The previous prime is 144848681. The next prime is 144848741. The reversal of 144848720 is 27848441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 61528336 = 9128^2 + 7844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 905225 + ... + 905384.

It is an arithmetic number, because the mean of its divisors is an integer number (16838673).

Almost surely, 2144848720 is an apocalyptic number.

144848720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144848720 is an abundant number, since it is smaller than the sum of its proper divisors (191924740).

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

144848720 is a wasteful number, since it uses less digits than its factorization.

144848720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810622 (or 1810616 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 144848720 is about 12035.3113794368. The cubic root of 144848720 is about 525.1760195876.

The spelling of 144848720 in words is "one hundred forty-four million, eight hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1810609 3621218 7242436 9053045 14484872 18106090 28969744 36212180 72424360 144848720