Search a number
-
+
240245460 = 223357134889
BaseRepresentation
bin11100101000111…
…01101011010100
3121202001201211000
432110131223110
5443000323320
635501143300
75645024040
oct1624355324
9552051730
10240245460
11113680a74
126855ab30
133aa087a0
1423c9b020
1516158c90
hexe51dad4

240245460 has 192 divisors, whose sum is σ = 920102400. Its totient is φ = 50678784.

The previous prime is 240245459. The next prime is 240245461. The reversal of 240245460 is 64542042.

It is an interprime number because it is at equal distance from previous prime (240245459) and next prime (240245461).

It is a super-2 number, since 2×2402454602 = 115435762101223200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240245461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46696 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (4792200).

Almost surely, 2240245460 is an apocalyptic number.

240245460 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 240245460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460051200).

240245460 is an abundant number, since it is smaller than the sum of its proper divisors (679856940).

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

240245460 is a wasteful number, since it uses less digits than its factorization.

240245460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 240245460 is about 15499.8535476952. The cubic root of 240245460 is about 621.6582904744.

The spelling of 240245460 in words is "two hundred forty million, two hundred forty-five thousand, four hundred sixty".