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140240000 = 27541753
BaseRepresentation
bin10000101101111…
…10010010000000
3100202212221010002
420112332102000
5241400140000
621525455132
73322006655
oct1026762200
9322787102
10140240000
117218642a
123ab714a8
1323092664
14148a7c2c
15c4a28d5
hex85be480

140240000 has 80 divisors (see below), whose sum is σ = 349317870. Its totient is φ = 56064000.

The previous prime is 140239997. The next prime is 140240011. The reversal of 140240000 is 42041.

It can be written as a sum of positive squares in 5 ways, for example, as 5494336 + 134745664 = 2344^2 + 11608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 7.

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 9 ways as a sum of consecutive naturals, for example, 79124 + ... + 80876.

Almost surely, 2140240000 is an apocalyptic number.

140240000 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 140240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174658935).

140240000 is an abundant number, since it is smaller than the sum of its proper divisors (209077870).

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

140240000 is an frugal number, since it uses more digits than its factorization.

140240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 140240000 is about 11842.2970744700. The cubic root of 140240000 is about 519.5459547443.

Adding to 140240000 its reverse (42041), we get a palindrome (140282041).

The spelling of 140240000 in words is "one hundred forty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1753 2000 2500 3200 3506 4000 5000 7012 8000 8765 10000 14024 16000 17530 20000 28048 35060 40000 43825 56096 70120 80000 87650 112192 140240 175300 219125 224384 280480 350600 438250 560960 701200 876500 1095625 1121920 1402400 1753000 2191250 2804800 3506000 4382500 5609600 7012000 8765000 14024000 17530000 28048000 35060000 70120000 140240000