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140305140 = 223253072539
BaseRepresentation
bin10000101110011…
…10001011110100
3100210000020110200
420113032023310
5241404231030
621531120500
73322400613
oct1027161364
9323006420
10140305140
1172220368
123aba3130
13230b61c1
14148c387a
15c4b6d60
hex85ce2f4

140305140 has 72 divisors (see below), whose sum is σ = 427146720. Its totient is φ = 37278144.

The previous prime is 140305093. The next prime is 140305153. The reversal of 140305140 is 41503041.

It is a happy number.

140305140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53991 + ... + 56529.

Almost surely, 2140305140 is an apocalyptic number.

140305140 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 140305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213573360).

140305140 is an abundant number, since it is smaller than the sum of its proper divisors (286841580).

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

140305140 is a wasteful number, since it uses less digits than its factorization.

140305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140305140 is about 11845.0470661792. The cubic root of 140305140 is about 519.6263834971.

Adding to 140305140 its reverse (41503041), we get a palindrome (181808181).

The spelling of 140305140 in words is "one hundred forty million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2539 2763 3070 3684 4605 5078 5526 6140 7617 9210 10156 11052 12695 13815 15234 18420 22851 25390 27630 30468 38085 45702 50780 55260 76170 91404 114255 152340 228510 457020 779473 1558946 2338419 3117892 3897365 4676838 7015257 7794730 9353676 11692095 14030514 15589460 23384190 28061028 35076285 46768380 70152570 140305140