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140321140 = 225291132141
BaseRepresentation
bin10000101110100…
…10000101110100
3100210001001102021
420113102011310
5241410234030
621531322524
73322465351
oct1027220564
9323031367
10140321140
1172231393
123abb0444
13230c057b
14148c9628
15c4bb97a
hex85d2174

140321140 has 48 divisors (see below), whose sum is σ = 307676880. Its totient is φ = 53688320.

The previous prime is 140321089. The next prime is 140321177. The reversal of 140321140 is 41123041.

It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 138909796 = 1188^2 + 11786^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64470 + ... + 66610.

It is an arithmetic number, because the mean of its divisors is an integer number (6409935).

Almost surely, 2140321140 is an apocalyptic number.

140321140 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 140321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153838440).

140321140 is an abundant number, since it is smaller than the sum of its proper divisors (167355740).

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

140321140 is a wasteful number, since it uses less digits than its factorization.

140321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 140321140 is about 11845.7224347019. The cubic root of 140321140 is about 519.6461349857.

Adding to 140321140 its reverse (41123041), we get a palindrome (181444181).

The spelling of 140321140 in words is "one hundred forty million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 1130 2141 2260 3277 4282 6554 8564 10705 13108 16385 21410 32770 42820 62089 65540 124178 241933 248356 310445 483866 620890 967732 1209665 1241780 2419330 4838660 7016057 14032114 28064228 35080285 70160570 140321140