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2400134140 = 225472325409
BaseRepresentation
bin1000111100001111…
…0010001111111100
320012021021110002001
42033003302033330
514403413243030
61034055112044
7113322542425
oct21703621774
96167243061
102400134140
1110218a4338
1256b972624
132c3334a21
1418aa9664c
15e0aa0cca
hex8f0f23fc

2400134140 has 24 divisors (see below), whose sum is σ = 5041547280. Its totient is φ = 959812608.

The previous prime is 2400134123. The next prime is 2400134141. The reversal of 2400134140 is 414310042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400134141) 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, 81756 + ... + 107164.

It is an arithmetic number, because the mean of its divisors is an integer number (210064470).

Almost surely, 22400134140 is an apocalyptic number.

2400134140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400134140 is an abundant number, since it is smaller than the sum of its proper divisors (2641413140).

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

2400134140 is a wasteful number, since it uses less digits than its factorization.

2400134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30139 counting only the distinct ones).

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

The square root of 2400134140 is about 48991.1638971764. The cubic root of 2400134140 is about 1338.8908435152.

Adding to 2400134140 its reverse (414310042), we get a palindrome (2814444182).

The spelling of 2400134140 in words is "two billion, four hundred million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4723 9446 18892 23615 25409 47230 50818 94460 101636 127045 254090 508180 120006707 240013414 480026828 600033535 1200067070 2400134140