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241140000 = 253544019
BaseRepresentation
bin11100101111110…
…00000100100000
3121210202011220010
432113320010200
5443212440000
635532244520
75655441033
oct1627700440
9553664803
10241140000
11114132062
1268910740
133ac5c9ba
142405101a
1516283d50
hexe5f8120

241140000 has 120 divisors (see below), whose sum is σ = 791184240. Its totient is φ = 64288000.

The previous prime is 241139999. The next prime is 241140007. The reversal of 241140000 is 41142.

241140000 is digitally balanced in base 3, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (241140007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57991 + ... + 62009.

It is an arithmetic number, because the mean of its divisors is an integer number (6593202).

Almost surely, 2241140000 is an apocalyptic number.

241140000 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 241140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395592120).

241140000 is an abundant number, since it is smaller than the sum of its proper divisors (550044240).

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

241140000 is an equidigital number, since it uses as much as digits as its factorization.

241140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 241140000 is about 15528.6831379869. The cubic root of 241140000 is about 622.4289043174.

Adding to 241140000 its reverse (41142), we get a palindrome (241181142).

The spelling of 241140000 in words is "two hundred forty-one million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 4019 5000 6000 7500 8038 10000 12000 12057 15000 16076 20000 20095 24114 30000 32152 40190 48228 60000 60285 64304 80380 96456 100475 120570 128608 160760 192912 200950 241140 301425 321520 385824 401900 482280 502375 602850 643040 803800 964560 1004750 1205700 1507125 1607600 1929120 2009500 2411400 2511875 3014250 3215200 4019000 4822800 5023750 6028500 7535625 8038000 9645600 10047500 12057000 15071250 16076000 20095000 24114000 30142500 40190000 48228000 60285000 80380000 120570000 241140000