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242424140 = 22572379953
BaseRepresentation
bin11100111001100…
…01100101001100
3121220011102101212
432130301211030
5444030033030
640015553552
76002366630
oct1634614514
9556142355
10242424140
11114929932
126922b8b8
133b2bc34a
14242a6dc0
1516439595
hexe73194c

242424140 has 96 divisors (see below), whose sum is σ = 615444480. Its totient is φ = 78414336.

The previous prime is 242424113. The next prime is 242424179. The reversal of 242424140 is 41424242.

242424140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253904 + ... + 254856.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2242424140 is an apocalyptic number.

242424140 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 242424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307722240).

242424140 is an abundant number, since it is smaller than the sum of its proper divisors (373020340).

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

242424140 is a wasteful number, since it uses less digits than its factorization.

242424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 242424140 is about 15569.9755940721. The cubic root of 242424140 is about 623.5318199497.

Adding to 242424140 its reverse (41424242), we get a palindrome (283848382).

It can be divided in two parts, 24242 and 4140, that added together give a palindrome (28382).

The spelling of 242424140 in words is "two hundred forty-two million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 79 92 115 140 158 161 230 316 322 395 460 553 644 790 805 953 1106 1580 1610 1817 1906 2212 2765 3220 3634 3812 4765 5530 6671 7268 9085 9530 11060 12719 13342 18170 19060 21919 25438 26684 33355 36340 43838 50876 63595 66710 75287 87676 109595 127190 133420 150574 153433 219190 254380 301148 306866 376435 438380 527009 613732 752870 767165 1054018 1505740 1534330 1731601 2108036 2635045 3068660 3463202 5270090 6926404 8658005 10540180 12121207 17316010 24242414 34632020 48484828 60606035 121212070 242424140