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140410000 = 245419739
BaseRepresentation
bin10000101111001…
…11110010010000
3100210012120022101
420113213302100
5241421110000
621533250144
73323315413
oct1027476220
9323176271
10140410000
1172292125
123b033954
1323121b53
141490db7a
15c4d7e6a
hex85e7c90

140410000 has 100 divisors (see below), whose sum is σ = 358322800. Its totient is φ = 53136000.

The previous prime is 140409961. The next prime is 140410003. The reversal of 140410000 is 14041.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (140410003) 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 19 ways as a sum of consecutive naturals, for example, 189631 + ... + 190369.

It is an arithmetic number, because the mean of its divisors is an integer number (3583228).

Almost surely, 2140410000 is an apocalyptic number.

140410000 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 140410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179161400).

140410000 is an abundant number, since it is smaller than the sum of its proper divisors (217912800).

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

140410000 is an equidigital number, since it uses as much as digits as its factorization.

140410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 140410000 is about 11849.4725621017. The cubic root of 140410000 is about 519.7558025000.

Adding to 140410000 its reverse (14041), we get a palindrome (140424041).

Multiplying 140410000 by its reverse (14041), we get a square (1971496810000 = 14041002).

140410000 divided by its reverse (14041) gives a 4-th power (10000 = 104).

The spelling of 140410000 in words is "one hundred forty million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 739 760 950 1000 1250 1478 1520 1900 2000 2375 2500 2956 3695 3800 4750 5000 5912 7390 7600 9500 10000 11824 11875 14041 14780 18475 19000 23750 28082 29560 36950 38000 47500 56164 59120 70205 73900 92375 95000 112328 140410 147800 184750 190000 224656 280820 295600 351025 369500 461875 561640 702050 739000 923750 1123280 1404100 1478000 1755125 1847500 2808200 3510250 3695000 5616400 7020500 7390000 8775625 14041000 17551250 28082000 35102500 70205000 140410000