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241042000 = 2453191631
BaseRepresentation
bin11100101111000…
…00001001010000
3121210120012110111
432113200021100
5443201321000
635530211104
75654552233
oct1627401120
9553505414
10241042000
11114075471
1268883a94
133ac27204
142402741a
1516264cba
hexe5e0250

241042000 has 80 divisors (see below), whose sum is σ = 586819584. Its totient is φ = 95760000.

The previous prime is 241041979. The next prime is 241042027. The reversal of 241042000 is 240142.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381685 + ... + 382315.

Almost surely, 2241042000 is an apocalyptic number.

241042000 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 241042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293409792).

241042000 is an abundant number, since it is smaller than the sum of its proper divisors (345777584).

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

241042000 is a wasteful number, since it uses less digits than its factorization.

241042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 241042000 is about 15525.5273662443. The cubic root of 241042000 is about 622.3445739177.

Adding to 241042000 its reverse (240142), we get a palindrome (241282142).

The spelling of 241042000 in words is "two hundred forty-one million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 631 764 955 1000 1262 1528 1910 2000 2524 3056 3155 3820 4775 5048 6310 7640 9550 10096 12620 15280 15775 19100 23875 25240 31550 38200 47750 50480 63100 76400 78875 95500 120521 126200 157750 191000 241042 252400 315500 382000 482084 602605 631000 964168 1205210 1262000 1928336 2410420 3013025 4820840 6026050 9641680 12052100 15065125 24104200 30130250 48208400 60260500 120521000 241042000