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242113140 = 223255472459
BaseRepresentation
bin11100110111001…
…01101001110100
3121212120121210100
432123211221310
5443440110030
640005154100
75666633133
oct1633455164
9555517710
10242113140
11114737205
12690bb930
133b210919
142422591a
15163c7360
hexe6e5a74

242113140 has 72 divisors (see below), whose sum is σ = 736051680. Its totient is φ = 64419264.

The previous prime is 242113127. The next prime is 242113147. The reversal of 242113140 is 41311242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242113147) 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, 97231 + ... + 99689.

It is an arithmetic number, because the mean of its divisors is an integer number (10222940).

Almost surely, 2242113140 is an apocalyptic number.

242113140 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 242113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368025840).

242113140 is an abundant number, since it is smaller than the sum of its proper divisors (493938540).

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

242113140 is a wasteful number, since it uses less digits than its factorization.

242113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242113140 is about 15559.9852185020. The cubic root of 242113140 is about 623.2650679401.

Adding to 242113140 its reverse (41311242), we get a palindrome (283424382).

The spelling of 242113140 in words is "two hundred forty-two million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 547 1094 1641 2188 2459 2735 3282 4918 4923 5470 6564 7377 8205 9836 9846 10940 12295 14754 16410 19692 22131 24590 24615 29508 32820 36885 44262 49180 49230 73770 88524 98460 110655 147540 221310 442620 1345073 2690146 4035219 5380292 6725365 8070438 12105657 13450730 16140876 20176095 24211314 26901460 40352190 48422628 60528285 80704380 121056570 242113140