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241742040 = 233517163727
BaseRepresentation
bin11100110100010…
…11000011011000
3121211212202201220
432122023003120
5443341221130
635553212040
75663526201
oct1632130330
9554782656
10241742040
11114503411
1268b61020
133b110a37
142416a5a8
1516352410
hexe68b0d8

241742040 has 128 divisors (see below), whose sum is σ = 773660160. Its totient is φ = 60217344.

The previous prime is 241741949. The next prime is 241742077. The reversal of 241742040 is 40247142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241742040.

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 31 ways as a sum of consecutive naturals, for example, 332157 + ... + 332883.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2241742040 is an apocalyptic number.

241742040 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 241742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386830080).

241742040 is an abundant number, since it is smaller than the sum of its proper divisors (531918120).

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

241742040 is a wasteful number, since it uses less digits than its factorization.

241742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 241742040 is about 15548.0558270158. The cubic root of 241742040 is about 622.9464676642.

Adding to 241742040 its reverse (40247142), we get a palindrome (281989182).

The spelling of 241742040 in words is "two hundred forty-one million, seven hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 163 170 204 255 326 340 408 489 510 652 680 727 815 978 1020 1304 1454 1630 1956 2040 2181 2445 2771 2908 3260 3635 3912 4362 4890 5542 5816 6520 7270 8313 8724 9780 10905 11084 12359 13855 14540 16626 17448 19560 21810 22168 24718 27710 29080 33252 37077 41565 43620 49436 55420 61795 66504 74154 83130 87240 98872 110840 118501 123590 148308 166260 185385 237002 247180 296616 332520 355503 370770 474004 494360 592505 711006 741540 948008 1185010 1422012 1483080 1777515 2014517 2370020 2844024 3555030 4029034 4740040 6043551 7110060 8058068 10072585 12087102 14220120 16116136 20145170 24174204 30217755 40290340 48348408 60435510 80580680 120871020 241742040