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240064041 = 3723601827
BaseRepresentation
bin11100100111100…
…01011000101001
3121201201111221210
432103301120221
5442424022131
635453223333
75643340110
oct1623613051
9551644853
10240064041
11113567738
1268491b49
133a974039
1423c50c77
1516120146
hexe4f1629

240064041 has 32 divisors (see below), whose sum is σ = 382814208. Its totient is φ = 130838400.

The previous prime is 240063997. The next prime is 240064051. The reversal of 240064041 is 140460042.

240064041 = 702 + 712 + ... + 8962.

240064041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240064041 - 218 = 239801897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 240063999 and 240064017.

It is not an unprimeable number, because it can be changed into a prime (240064051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289870 + ... + 290696.

It is an arithmetic number, because the mean of its divisors is an integer number (11962944).

Almost surely, 2240064041 is an apocalyptic number.

240064041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240064041 is a deficient number, since it is larger than the sum of its proper divisors (142750167).

240064041 is a wasteful number, since it uses less digits than its factorization.

240064041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 240064041 is about 15494.0001613528. Note that the first 3 decimals coincide. The cubic root of 240064041 is about 621.5017713519.

The spelling of 240064041 in words is "two hundred forty million, sixty-four thousand, forty-one".

Divisors: 1 3 7 21 23 69 161 483 601 827 1803 2481 4207 5789 12621 13823 17367 19021 41469 57063 96761 133147 290283 399441 497027 1491081 3479189 10437567 11431621 34294863 80021347 240064041