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144990608 = 24721731069
BaseRepresentation
bin10001010010001…
…10000110010000
3101002211021201112
420221012012100
5244104144413
622215352452
73410254100
oct1051060620
9332737645
10144990608
1174930654
1240682728
1324066a79
1415383200
15cae02a8
hex8a46190

144990608 has 60 divisors (see below), whose sum is σ = 328980060. Its totient is φ = 61721856.

The previous prime is 144990607. The next prime is 144990611. The reversal of 144990608 is 806099441.

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 41113744 = 10192^2 + 6412^2 .

It is not an unprimeable number, because it can be changed into a prime (144990607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135098 + ... + 136166.

It is an arithmetic number, because the mean of its divisors is an integer number (5483001).

Almost surely, 2144990608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164490030).

144990608 is an abundant number, since it is smaller than the sum of its proper divisors (183989452).

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

144990608 is a wasteful number, since it uses less digits than its factorization.

144990608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 144990608 is about 12041.2045909037. The cubic root of 144990608 is about 525.3474440855.

The spelling of 144990608 in words is "one hundred forty-four million, nine hundred ninety thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 173 196 346 392 692 784 1069 1211 1384 2138 2422 2768 4276 4844 7483 8477 8552 9688 14966 16954 17104 19376 29932 33908 52381 59864 67816 104762 119728 135632 184937 209524 369874 419048 739748 838096 1294559 1479496 2589118 2958992 5178236 9061913 10356472 18123826 20712944 36247652 72495304 144990608