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240413140 = 225111517237
BaseRepresentation
bin11100101010001…
…10100111010100
3121202101020211101
432111012213110
5443021210030
635504515444
75646322642
oct1625064724
9552336741
10240413140
11113785a50
126861bb84
133aa66bc6
1423d02192
151618d7ca
hexe5469d4

240413140 has 48 divisors (see below), whose sum is σ = 554488704. Its totient is φ = 86832000.

The previous prime is 240413113. The next prime is 240413143. The reversal of 240413140 is 41314042.

240413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240413143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29602 + ... + 36838.

It is an arithmetic number, because the mean of its divisors is an integer number (11551848).

Almost surely, 2240413140 is an apocalyptic number.

240413140 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 240413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277244352).

240413140 is an abundant number, since it is smaller than the sum of its proper divisors (314075564).

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

240413140 is a wasteful number, since it uses less digits than its factorization.

240413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 240413140 is about 15505.2616875692. The cubic root of 240413140 is about 621.8028862281.

Adding to 240413140 its reverse (41314042), we get a palindrome (281727182).

The spelling of 240413140 in words is "two hundred forty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 7237 8305 14474 16610 28948 33220 36185 72370 79607 144740 159214 318428 398035 796070 1092787 1592140 2185574 4371148 5463935 10927870 12020657 21855740 24041314 48082628 60103285 120206570 240413140