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240132042 = 23213340669
BaseRepresentation
bin11100101000000…
…01111111001010
3121201211222020100
432110001333022
5442433211132
635454510230
75644042263
oct1624017712
9551758210
10240132042
11113603837
1268505376
133a998c87
1423c6b96a
151613537c
hexe501fca

240132042 has 12 divisors (see below), whose sum is σ = 520286130. Its totient is φ = 80044008.

The previous prime is 240132041. The next prime is 240132043. The reversal of 240132042 is 240231042.

240132042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240132041) and next prime (240132043).

It can be written as a sum of positive squares in only one way, i.e., 141348321 + 98783721 = 11889^2 + 9939^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 13340669 = 240132042 / (2 + 4 + 0 + 1 + 3 + 2 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (240132041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6670317 + ... + 6670352.

Almost surely, 2240132042 is an apocalyptic number.

240132042 is an abundant number, since it is smaller than the sum of its proper divisors (280154088).

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

240132042 is a wasteful number, since it uses less digits than its factorization.

240132042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340677 (or 13340674 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240132042 is about 15496.1944360543. The cubic root of 240132042 is about 621.5604484060.

Adding to 240132042 its reverse (240231042), we get a palindrome (480363084).

It can be divided in two parts, 2401 and 32042, that added together give a palindrome (34443).

The spelling of 240132042 in words is "two hundred forty million, one hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 13340669 26681338 40022007 80044014 120066021 240132042