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240126138 = 23278322961
BaseRepresentation
bin11100101000000…
…00100010111010
3121201211200010200
432110000202322
5442433014023
635454423030
75644016130
oct1624004272
9551750120
10240126138
111135aa35a
1268501a76
133a996395
1423c69750
1516133743
hexe5008ba

240126138 has 48 divisors (see below), whose sum is σ = 601788096. Its totient is φ = 67777920.

The previous prime is 240126121. The next prime is 240126143. The reversal of 240126138 is 831621042.

240126138 is a `hidden beast` number, since 2 + 40 + 1 + 2 + 613 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023 + ... + 21938.

It is an arithmetic number, because the mean of its divisors is an integer number (12537252).

Almost surely, 2240126138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240126138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300894048).

240126138 is an abundant number, since it is smaller than the sum of its proper divisors (361661958).

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

240126138 is a wasteful number, since it uses less digits than its factorization.

240126138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23059 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 240126138 is about 15496.0039364992. The cubic root of 240126138 is about 621.5553543711. Note that the first 3 decimals are identical.

The spelling of 240126138 in words is "two hundred forty million, one hundred twenty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 5229 10458 22961 45922 68883 137766 160727 206649 321454 413298 482181 964362 1446543 1905763 2893086 3811526 5717289 11434578 13340341 17151867 26680682 34303734 40021023 80042046 120063069 240126138