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140320000 = 2854877
BaseRepresentation
bin10000101110100…
…01110100000000
3100210000222212001
420113101310000
5241410220000
621531313344
73322462132
oct1027216400
9323028761
10140320000
1172230547
123abab854
13230bcbb2
14148c9052
15c4bb46a
hex85d1d00

140320000 has 90 divisors (see below), whose sum is σ = 350401898. Its totient is φ = 56064000.

The previous prime is 140319967. The next prime is 140320001. The reversal of 140320000 is 23041.

It can be written as a sum of positive squares in 5 ways, for example, as 30824704 + 109495296 = 5552^2 + 10464^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140320001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159562 + ... + 160438.

Almost surely, 2140320000 is an apocalyptic number.

140320000 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 140320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175200949).

140320000 is an abundant number, since it is smaller than the sum of its proper divisors (210081898).

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

140320000 is an frugal number, since it uses more digits than its factorization.

140320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 140320000 is about 11845.6743159687. The cubic root of 140320000 is about 519.6447277418.

Adding to 140320000 its reverse (23041), we get a palindrome (140343041).

The spelling of 140320000 in words is "one hundred forty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 877 1000 1250 1280 1600 1754 2000 2500 3200 3508 4000 4385 5000 6400 7016 8000 8770 10000 14032 16000 17540 20000 21925 28064 32000 35080 40000 43850 56128 70160 80000 87700 109625 112256 140320 160000 175400 219250 224512 280640 350800 438500 548125 561280 701600 877000 1096250 1122560 1403200 1754000 2192500 2806400 3508000 4385000 5612800 7016000 8770000 14032000 17540000 28064000 35080000 70160000 140320000