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241115040 = 25325167441
BaseRepresentation
bin11100101111100…
…01111110100000
3121210200220122200
432113301332200
5443211140130
635531533200
75655305205
oct1627617640
9553626580
10241115040
11114115331
12688ba200
133ac5152a
1424045cac
151627b760
hexe5f1fa0

241115040 has 72 divisors (see below), whose sum is σ = 822809988. Its totient is φ = 64296960.

The previous prime is 241115011. The next prime is 241115047. The reversal of 241115040 is 40511142.

It can be written as a sum of positive squares in 2 ways, for example, as 234824976 + 6290064 = 15324^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (241115047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82281 + ... + 85160.

Almost surely, 2241115040 is an apocalyptic number.

241115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241115040 is an abundant number, since it is smaller than the sum of its proper divisors (581694948).

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

241115040 is a wasteful number, since it uses less digits than its factorization.

241115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167462 (or 167451 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 241115040 is about 15527.8794431178. The cubic root of 241115040 is about 622.4074280498.

Adding to 241115040 its reverse (40511142), we get a palindrome (281626182).

The spelling of 241115040 in words is "two hundred forty-one million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 167441 334882 502323 669764 837205 1004646 1339528 1506969 1674410 2009292 2511615 2679056 3013938 3348820 4018584 5023230 5358112 6027876 6697640 7534845 8037168 10046460 12055752 13395280 15069690 16074336 20092920 24111504 26790560 30139380 40185840 48223008 60278760 80371680 120557520 241115040