Search a number
-
+
242503140 = 223511794651
BaseRepresentation
bin11100111010001…
…00110111100100
3121220022102202210
432131010313210
5444040100030
640021403420
76003146145
oct1635046744
9556272683
10242503140
11114983220
1269269570
133b3192a9
14242c7acc
1516452bb0
hexe744de4

242503140 has 96 divisors (see below), whose sum is σ = 750274560. Its totient is φ = 58032000.

The previous prime is 242503123. The next prime is 242503141. The reversal of 242503140 is 41305242.

It is not an unprimeable number, because it can be changed into a prime (242503141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49815 + ... + 54465.

It is an arithmetic number, because the mean of its divisors is an integer number (7815360).

Almost surely, 2242503140 is an apocalyptic number.

242503140 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 242503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375137280).

242503140 is an abundant number, since it is smaller than the sum of its proper divisors (507771420).

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

242503140 is a wasteful number, since it uses less digits than its factorization.

242503140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242503140 is about 15572.5123213950. The cubic root of 242503140 is about 623.5995437662.

Adding to 242503140 its reverse (41305242), we get a palindrome (283808382).

The spelling of 242503140 in words is "two hundred forty-two million, five hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4651 4740 5214 8690 9302 10428 13035 13953 17380 18604 23255 26070 27906 46510 51161 52140 55812 69765 93020 102322 139530 153483 204644 255805 279060 306966 367429 511610 613932 734858 767415 1023220 1102287 1469716 1534830 1837145 2204574 3069660 3674290 4041719 4409148 5511435 7348580 8083438 11022870 12125157 16166876 20208595 22045740 24250314 40417190 48500628 60625785 80834380 121251570 242503140