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241788040 = 23513491947
BaseRepresentation
bin11100110100101…
…10010010001000
3121211222002211121
432122112102020
5443344204130
635554205024
75664110254
oct1632262210
9554862747
10241788040
11114534a2a
1268b83774
133b128960
142417d264
1516360d7a
hexe696488

241788040 has 64 divisors (see below), whose sum is σ = 587684160. Its totient is φ = 88999680.

The previous prime is 241787989. The next prime is 241788073. The reversal of 241788040 is 40887142.

It is a super-2 number, since 2×2417880402 = 116922912574083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241787987 and 241788005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254847 + ... + 255793.

It is an arithmetic number, because the mean of its divisors is an integer number (9182565).

Almost surely, 2241788040 is an apocalyptic number.

241788040 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 241788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293842080).

241788040 is an abundant number, since it is smaller than the sum of its proper divisors (345896120).

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

241788040 is a wasteful number, since it uses less digits than its factorization.

241788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 241788040 is about 15549.5350412802. The cubic root of 241788040 is about 622.9859777140.

The spelling of 241788040 in words is "two hundred forty-one million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 491 520 947 982 1894 1964 2455 3788 3928 4735 4910 6383 7576 9470 9820 12311 12766 18940 19640 24622 25532 31915 37880 49244 51064 61555 63830 98488 123110 127660 246220 255320 464977 492440 929954 1859908 2324885 3719816 4649770 6044701 9299540 12089402 18599080 24178804 30223505 48357608 60447010 120894020 241788040