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241661140 = 22572832971
BaseRepresentation
bin11100110011101…
…11010011010100
3121211201122202121
432121313103110
5443331124030
635551345324
75663041300
oct1631672324
9554648677
10241661140
11114458656
1268b22244
133b0b2c76
1424148d00
151633847a
hexe6774d4

241661140 has 72 divisors (see below), whose sum is σ = 597657312. Its totient is φ = 81829440.

The previous prime is 241661117. The next prime is 241661141. The reversal of 241661140 is 41166142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241661141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79855 + ... + 82825.

It is an arithmetic number, because the mean of its divisors is an integer number (8300796).

Almost surely, 2241661140 is an apocalyptic number.

241661140 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 241661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298828656).

241661140 is an abundant number, since it is smaller than the sum of its proper divisors (355996172).

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

241661140 is a wasteful number, since it uses less digits than its factorization.

241661140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 241661140 is about 15545.4539978735. The cubic root of 241661140 is about 622.8769693510.

The spelling of 241661140 in words is "two hundred forty-one million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1660 2324 2905 2971 4067 5810 5942 8134 11620 11884 14855 16268 20335 20797 29710 40670 41594 59420 81340 83188 103985 145579 207970 246593 291158 415940 493186 582316 727895 986372 1232965 1455790 1726151 2465930 2911580 3452302 4931860 6904604 8630755 12083057 17261510 24166114 34523020 48332228 60415285 120830570 241661140