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140324140 = 225114147331
BaseRepresentation
bin10000101110100…
…10110100101100
3100210001012112101
420113102310230
5241410333030
621531344444
73322510165
oct1027226454
9323035471
10140324140
1172233670
123abb2124
13230c1a48
14148ca76c
15c4bc7ca
hex85d2d2c

140324140 has 96 divisors (see below), whose sum is σ = 337333248. Its totient is φ = 48576000.

The previous prime is 140324131. The next prime is 140324143. The reversal of 140324140 is 41423041.

It is not an unprimeable number, because it can be changed into a prime (140324143) 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 31 ways as a sum of consecutive naturals, for example, 423775 + ... + 424105.

It is an arithmetic number, because the mean of its divisors is an integer number (3513888).

Almost surely, 2140324140 is an apocalyptic number.

140324140 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 140324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168666624).

140324140 is an abundant number, since it is smaller than the sum of its proper divisors (197009108).

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

140324140 is a wasteful number, since it uses less digits than its factorization.

140324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 140324140 is about 11845.8490620132. The cubic root of 140324140 is about 519.6498382227.

Adding to 140324140 its reverse (41423041), we get a palindrome (181747181).

The spelling of 140324140 in words is "one hundred forty million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 47 55 82 94 110 164 188 205 220 235 331 410 451 470 517 662 820 902 940 1034 1324 1655 1804 1927 2068 2255 2585 3310 3641 3854 4510 5170 6620 7282 7708 9020 9635 10340 13571 14564 15557 18205 19270 21197 27142 31114 36410 38540 42394 54284 62228 67855 72820 77785 84788 105985 135710 149281 155570 171127 211970 271420 298562 311140 342254 423940 597124 637837 684508 746405 855635 1275674 1492810 1711270 2551348 2985620 3189185 3422540 6378370 7016207 12756740 14032414 28064828 35081035 70162070 140324140