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241055136 = 2533739857
BaseRepresentation
bin11100101111000…
…11010110100000
3121210120212111000
432113203112200
5443202231021
635530352000
75654635440
oct1627432640
9553525430
10241055136
11114084323
126888b600
133ac3019a
142402c120
1516268b26
hexe5e35a0

241055136 has 96 divisors (see below), whose sum is σ = 803537280. Its totient is φ = 68871168.

The previous prime is 241055117. The next prime is 241055137. The reversal of 241055136 is 631550142.

241055136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241055137) 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, 13881 + ... + 25976.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2241055136 is an apocalyptic number.

It is an amenable number.

241055136 is an abundant number, since it is smaller than the sum of its proper divisors (562482144).

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

241055136 is a wasteful number, since it uses less digits than its factorization.

241055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39883 (or 39869 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 241055136 is about 15525.9504056918. The cubic root of 241055136 is about 622.3558789597.

It can be divided in two parts, 24105 and 5136, that added together give a square (29241 = 1712).

The spelling of 241055136 in words is "two hundred forty-one million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 39857 79714 119571 159428 239142 278999 318856 358713 478284 557998 637712 717426 836997 956568 1076139 1115996 1275424 1434852 1673994 1913136 2152278 2231992 2510991 2869704 3347988 3826272 4304556 4463984 5021982 5739408 6695976 7532973 8609112 8927968 10043964 11478816 13391952 15065946 17218224 20087928 26783904 30131892 34436448 40175856 60263784 80351712 120527568 241055136