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140410240 = 275415351
BaseRepresentation
bin10000101111001…
…11110110000000
3100210012120122021
420113213312000
5241421111430
621533251224
73323316205
oct1027476600
9323176567
10140410240
1172292323
123b033b14
1323121ca9
141490dcac
15c4d807a
hex85e7d80

140410240 has 64 divisors (see below), whose sum is σ = 343919520. Its totient is φ = 54784000.

The previous prime is 140410229. The next prime is 140410241. The reversal of 140410240 is 42014041.

140410240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140410241) 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 7 ways as a sum of consecutive naturals, for example, 23565 + ... + 28915.

Almost surely, 2140410240 is an apocalyptic number.

140410240 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 140410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171959760).

140410240 is an abundant number, since it is smaller than the sum of its proper divisors (203509280).

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

140410240 is an equidigital number, since it uses as much as digits as its factorization.

140410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140410240 is about 11849.4826891304. The cubic root of 140410240 is about 519.7560986359.

Adding to 140410240 its reverse (42014041), we get a palindrome (182424281).

The spelling of 140410240 in words is "one hundred forty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 5351 6560 10702 13120 21404 26240 26755 42808 53510 85616 107020 171232 214040 219391 342464 428080 438782 684928 856160 877564 1096955 1712320 1755128 2193910 3424640 3510256 4387820 7020512 8775640 14041024 17551280 28082048 35102560 70205120 140410240