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241141120 = 2751134253
BaseRepresentation
bin11100101111110…
…00010110000000
3121210202020102121
432113320112000
5443213003440
635532254024
75655444223
oct1627702600
9553666377
10241141120
11114132990
1268911314
133ac6036c
14240515ba
151628434a
hexe5f8580

241141120 has 64 divisors (see below), whose sum is σ = 628903440. Its totient is φ = 87685120.

The previous prime is 241141093. The next prime is 241141151. The reversal of 241141120 is 21141142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 241141094 and 241141103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10087 + ... + 24166.

Almost surely, 2241141120 is an apocalyptic number.

241141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241141120 is an abundant number, since it is smaller than the sum of its proper divisors (387762320).

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

241141120 is a wasteful number, since it uses less digits than its factorization.

241141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34283 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 241141120 is about 15528.7192002431. The cubic root of 241141120 is about 622.4298679613.

Adding to 241141120 its reverse (21141142), we get a palindrome (262282262).

The spelling of 241141120 in words is "two hundred forty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 34253 68506 137012 171265 274024 342530 376783 548048 685060 753566 1096096 1370120 1507132 1883915 2192192 2740240 3014264 3767830 4384384 5480480 6028528 7535660 10960960 12057056 15071320 21921920 24114112 30142640 48228224 60285280 120570560 241141120