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241325040 = 24351191411
BaseRepresentation
bin11100110001001…
…01001111110000
3121211002120201110
432120211033300
5443234400130
635540233320
75660141355
oct1630451760
9554076643
10241325040
11114249090
126899b840
133acc5ca8
142409c62c
15162bdab0
hexe6253f0

241325040 has 80 divisors (see below), whose sum is σ = 816126336. Its totient is φ = 58502400.

The previous prime is 241325033. The next prime is 241325053. The reversal of 241325040 is 40523142.

241325040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 241324998 and 241325016.

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, 43066 + ... + 48345.

Almost surely, 2241325040 is an apocalyptic number.

241325040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241325040 is an abundant number, since it is smaller than the sum of its proper divisors (574801296).

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

241325040 is a wasteful number, since it uses less digits than its factorization.

241325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91438 (or 91432 counting only the distinct ones).

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

The square root of 241325040 is about 15534.6400022659. The cubic root of 241325040 is about 622.5880716022.

Adding to 241325040 its reverse (40523142), we get a palindrome (281848182).

The spelling of 241325040 in words is "two hundred forty-one million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 91411 182822 274233 365644 457055 548466 731288 914110 1005521 1096932 1371165 1462576 1828220 2011042 2193864 2742330 3016563 3656440 4022084 4387728 5027605 5484660 6033126 7312880 8044168 10055210 10969320 12066252 15082815 16088336 20110420 21938640 24132504 30165630 40220840 48265008 60331260 80441680 120662520 241325040