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241111040 = 212561193
BaseRepresentation
bin11100101111100…
…01000000000000
3121210200201011112
432113301000000
5443211023130
635531502452
75655260432
oct1627610000
9553621145
10241111040
11114112325
12688b7a28
133ac4c771
1424044652
151627a495
hexe5f1000

241111040 has 104 divisors (see below), whose sum is σ = 591128088. Its totient is φ = 94371840.

The previous prime is 241111027. The next prime is 241111063. The reversal of 241111040 is 40111142.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 237899776 = 1792^2 + 15424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249184 + ... + 1249376.

Almost surely, 2241111040 is an apocalyptic number.

241111040 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 241111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295564044).

241111040 is an abundant number, since it is smaller than the sum of its proper divisors (350017048).

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

241111040 is an equidigital number, since it uses as much as digits as its factorization.

241111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 241111040 is about 15527.7506419958. The cubic root of 241111040 is about 622.4039862024.

Adding to 241111040 its reverse (40111142), we get a palindrome (281222182).

The spelling of 241111040 in words is "two hundred forty-one million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 193 244 256 305 320 386 488 512 610 640 772 965 976 1024 1220 1280 1544 1930 1952 2048 2440 2560 3088 3860 3904 4096 4880 5120 6176 7720 7808 9760 10240 11773 12352 15440 15616 19520 20480 23546 24704 30880 31232 39040 47092 49408 58865 61760 62464 78080 94184 98816 117730 123520 124928 156160 188368 197632 235460 247040 249856 312320 376736 395264 470920 494080 624640 753472 790528 941840 988160 1249280 1506944 1883680 1976320 3013888 3767360 3952640 6027776 7534720 12055552 15069440 24111104 30138880 48222208 60277760 120555520 241111040