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144088720 = 2451801109
BaseRepresentation
bin10001001011010…
…01111010010000
3101001010110120021
420211221322100
5243341314340
622144153224
73366506506
oct1045517220
9331113507
10144088720
1174374a96
1240308814
1323b0c3c9
14151ca676
15c9b2e4a
hex8969e90

144088720 has 20 divisors (see below), whose sum is σ = 335006460. Its totient is φ = 57635456.

The previous prime is 144088717. The next prime is 144088727. The reversal of 144088720 is 27880441.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 122855056 = 4608^2 + 11084^2 .

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

It is not an unprimeable number, because it can be changed into a prime (144088727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 900475 + ... + 900634.

It is an arithmetic number, because the mean of its divisors is an integer number (16750323).

Almost surely, 2144088720 is an apocalyptic number.

144088720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144088720 is an abundant number, since it is smaller than the sum of its proper divisors (190917740).

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

144088720 is a wasteful number, since it uses less digits than its factorization.

144088720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801122 (or 1801116 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 144088720 is about 12003.6960974527. The cubic root of 144088720 is about 524.2559012685.

The spelling of 144088720 in words is "one hundred forty-four million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1801109 3602218 7204436 9005545 14408872 18011090 28817744 36022180 72044360 144088720