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242421140 = 225133472687
BaseRepresentation
bin11100111001100…
…00110110010100
3121220011021021202
432130300312110
5444024434030
640015532032
76002355113
oct1634606624
9556137252
10242421140
11114927655
126922a018
133b2bab80
14242a5c7a
1516438745
hexe730d94

242421140 has 48 divisors (see below), whose sum is σ = 550029312. Its totient is φ = 89218176.

The previous prime is 242421131. The next prime is 242421169. The reversal of 242421140 is 41124242.

242421140 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88877 + ... + 91563.

It is an arithmetic number, because the mean of its divisors is an integer number (11458944).

Almost surely, 2242421140 is an apocalyptic number.

242421140 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 242421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275014656).

242421140 is an abundant number, since it is smaller than the sum of its proper divisors (307608172).

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

242421140 is a wasteful number, since it uses less digits than its factorization.

242421140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242421140 is about 15569.8792545093. The cubic root of 242421140 is about 623.5292478692.

Adding to 242421140 its reverse (41124242), we get a palindrome (283545382).

The spelling of 242421140 in words is "two hundred forty-two million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 347 694 1388 1735 2687 3470 4511 5374 6940 9022 10748 13435 18044 22555 26870 34931 45110 53740 69862 90220 139724 174655 349310 698620 932389 1864778 3729556 4661945 9323890 12121057 18647780 24242114 48484228 60605285 121210570 242421140