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2002350140 = 2257313531307
BaseRepresentation
bin111011101011001…
…0111000000111100
312011112202221000022
41313112113000330
513100100201030
6530405151312
7100422460340
oct16726270074
95145687008
102002350140
1193830232a
1247a6bb538
1325babac8b
1414dd0b620
15babc8de5
hex7759703c

2002350140 has 96 divisors (see below), whose sum is σ = 4978520064. Its totient is φ = 661985280.

The previous prime is 2002350137. The next prime is 2002350173. The reversal of 2002350140 is 410532002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531367 + ... + 1532673.

It is an arithmetic number, because the mean of its divisors is an integer number (51859584).

Almost surely, 22002350140 is an apocalyptic number.

2002350140 is a gapful number since it is divisible by the number (20) 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 2002350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489260032).

2002350140 is an abundant number, since it is smaller than the sum of its proper divisors (2976169924).

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

2002350140 is a wasteful number, since it uses less digits than its factorization.

2002350140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2002350140 is about 44747.6271996628. The cubic root of 2002350140 is about 1260.4143551986.

Adding to 2002350140 its reverse (410532002), we get a palindrome (2412882142).

The spelling of 2002350140 in words is "two billion, two million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 353 434 620 706 868 1085 1307 1412 1765 2170 2471 2614 3530 4340 4942 5228 6535 7060 9149 9884 10943 12355 13070 18298 21886 24710 26140 36596 40517 43772 45745 49420 54715 76601 81034 91490 109430 153202 162068 182980 202585 218860 283619 306404 383005 405170 461371 567238 766010 810340 922742 1134476 1418095 1532020 1845484 2306855 2836190 3229597 4613710 5672380 6459194 9227420 12918388 14302501 16147985 28605002 32295970 57210004 64591940 71512505 100117507 143025010 200235014 286050020 400470028 500587535 1001175070 2002350140