Search a number
-
+
502680240 = 24325809863
BaseRepresentation
bin11101111101100…
…100101010110000
31022000212210122200
4131331210222300
52012141231430
6121514103200
715312466026
oct3575445260
91260783580
10502680240
11238828117
1212041ab00
13801b303a
144aa92716
152e1e7460
hex1df64ab0

502680240 has 120 divisors (see below), whose sum is σ = 1692213120. Its totient is φ = 133727232.

The previous prime is 502680197. The next prime is 502680247. The reversal of 502680240 is 42086205.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (502680247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582049 + ... + 582911.

It is an arithmetic number, because the mean of its divisors is an integer number (14101776).

Almost surely, 2502680240 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 502680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846106560).

502680240 is an abundant number, since it is smaller than the sum of its proper divisors (1189532880).

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

502680240 is a wasteful number, since it uses less digits than its factorization.

502680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 502680240 is about 22420.5316618496. The cubic root of 502680240 is about 795.1162046820.

The spelling of 502680240 in words is "five hundred two million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 809 863 1618 1726 2427 2589 3236 3452 4045 4315 4854 5178 6472 6904 7281 7767 8090 8630 9708 10356 12135 12944 12945 13808 14562 15534 16180 17260 19416 20712 24270 25890 29124 31068 32360 34520 36405 38832 38835 41424 48540 51780 58248 62136 64720 69040 72810 77670 97080 103560 116496 124272 145620 155340 194160 207120 291240 310680 582480 621360 698167 1396334 2094501 2792668 3490835 4189002 5585336 6283503 6981670 8378004 10472505 11170672 12567006 13963340 16756008 20945010 25134012 27926680 31417515 33512016 41890020 50268024 55853360 62835030 83780040 100536048 125670060 167560080 251340120 502680240