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10944144 = 243276001
BaseRepresentation
bin101001101111…
…111010010000
3202121000112200
4221233322100
510300203034
61030323200
7162011061
oct51577220
922530480
1010944144
1161a5552
1237b9500
132362533
14164c568
15e62a99
hexa6fe90

10944144 has 30 divisors (see below), whose sum is σ = 30628806. Its totient is φ = 3648000.

The previous prime is 10944137. The next prime is 10944149. The reversal of 10944144 is 44144901.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 831744 = 3180^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (10944149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37857 + ... + 38144.

Almost surely, 210944144 is an apocalyptic number.

It is an amenable number.

10944144 is an abundant number, since it is smaller than the sum of its proper divisors (19684662).

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

10944144 is a wasteful number, since it uses less digits than its factorization.

10944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76015 (or 76006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10944144 is about 3308.1934647176. The cubic root of 10944144 is about 222.0209378840.

It can be divided in two parts, 109 and 44144, that added together give a triangular number (44253 = T297).

The spelling of 10944144 in words is "ten million, nine hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 76001 152002 228003 304004 456006 608008 684009 912012 1216016 1368018 1824024 2736036 3648048 5472072 10944144