Search a number
-
+
240675040 = 2552117129
BaseRepresentation
bin11100101100001…
…10100011100000
3121202212120002101
432112012203200
5443103100130
635514300144
75651463334
oct1626064340
9552776071
10240675040
111139447a1
1268727654
133ab29188
1423d6d7c4
15161e11ca
hexe5868e0

240675040 has 48 divisors (see below), whose sum is σ = 571369680. Its totient is φ = 95800320.

The previous prime is 240675023. The next prime is 240675049. The reversal of 240675040 is 40576042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240675049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30196 + ... + 37324.

It is an arithmetic number, because the mean of its divisors is an integer number (11903535).

Almost surely, 2240675040 is an apocalyptic number.

240675040 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 240675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285684840).

240675040 is an abundant number, since it is smaller than the sum of its proper divisors (330694640).

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

240675040 is a wasteful number, since it uses less digits than its factorization.

240675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 240675040 is about 15513.7049088862. The cubic root of 240675040 is about 622.0285964045.

The spelling of 240675040 in words is "two hundred forty million, six hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1688 2110 3376 4220 6752 7129 8440 14258 16880 28516 33760 35645 57032 71290 114064 142580 228128 285160 570320 1140640 1504219 3008438 6016876 7521095 12033752 15042190 24067504 30084380 48135008 60168760 120337520 240675040