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241031040 = 2735472671
BaseRepresentation
bin11100101110111…
…01011110000000
3121210112122102120
432113131132000
5443200443130
635530044240
75654505255
oct1627353600
9553478376
10241031040
11114068208
1268879680
133ac22223
142402342c
1516261910
hexe5dd780

241031040 has 128 divisors (see below), whose sum is σ = 784926720. Its totient is φ = 62883840.

The previous prime is 241031029. The next prime is 241031041. The reversal of 241031040 is 40130142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241031041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88905 + ... + 91575.

It is an arithmetic number, because the mean of its divisors is an integer number (6132240).

Almost surely, 2241031040 is an apocalyptic number.

241031040 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 241031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392463360).

241031040 is an abundant number, since it is smaller than the sum of its proper divisors (543895680).

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

241031040 is a wasteful number, since it uses less digits than its factorization.

241031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 241031040 is about 15525.1743951558. The cubic root of 241031040 is about 622.3351412601.

Adding to 241031040 its reverse (40130142), we get a palindrome (281161182).

The spelling of 241031040 in words is "two hundred forty-one million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2671 2820 3008 3760 4512 5342 5640 6016 7520 8013 9024 10684 11280 13355 15040 16026 18048 21368 22560 26710 30080 32052 40065 42736 45120 53420 64104 80130 85472 90240 106840 125537 128208 160260 170944 213680 251074 256416 320520 341888 376611 427360 502148 512832 627685 641040 753222 854720 1004296 1025664 1255370 1282080 1506444 1709440 1883055 2008592 2510740 2564160 3012888 3766110 4017184 5021480 5128320 6025776 7532220 8034368 10042960 12051552 15064440 16068736 20085920 24103104 30128880 40171840 48206208 60257760 80343680 120515520 241031040