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502681140 = 223451323869
BaseRepresentation
bin11101111101100…
…100111000110100
31022000212211220000
4131331210320310
52012141244030
6121514111300
715312501453
oct3575447064
91260784800
10502681140
11238828865
1212041b530
13801b3580
144aa92b9a
152e1e7860
hex1df64e34

502681140 has 120 divisors (see below), whose sum is σ = 1698302760. Its totient is φ = 123731712.

The previous prime is 502681111. The next prime is 502681147. The reversal of 502681140 is 41186205.

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 465006096 = 6138^2 + 21564^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502681147) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9126 + ... + 32994.

It is an arithmetic number, because the mean of its divisors is an integer number (14152523).

Almost surely, 2502681140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502681140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849151380).

502681140 is an abundant number, since it is smaller than the sum of its proper divisors (1195621620).

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

502681140 is a wasteful number, since it uses less digits than its factorization.

502681140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23903 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 502681140 is about 22420.5517327295. The cubic root of 502681140 is about 795.1166792078.

The spelling of 502681140 in words is "five hundred two million, six hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 23869 47738 71607 95476 119345 143214 214821 238690 286428 310297 358035 429642 477380 620594 644463 716070 859284 930891 1074105 1241188 1288926 1432140 1551485 1861782 1933389 2148210 2577852 2792673 3102970 3222315 3723564 3866778 4296420 4654455 5585346 6205940 6444630 7733556 8378019 9308910 9666945 11170692 12889260 13963365 16756038 18617820 19333890 25134057 27926730 33512076 38667780 41890095 50268114 55853460 83780190 100536228 125670285 167560380 251340570 502681140