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642405140 = 225132470789
BaseRepresentation
bin100110010010100…
…101001100010100
31122202210120011222
4212102211030110
52303423431030
6143424545512
721630232166
oct4622451424
91582716158
10642405140
112aa691543
1215b182298
13a31250b0
1461464936
153b5e73e5
hex264a5314

642405140 has 24 divisors (see below), whose sum is σ = 1452824520. Its totient is φ = 237195648.

The previous prime is 642405121. The next prime is 642405149. The reversal of 642405140 is 41504246.

It can be written as a sum of positive squares in 4 ways, for example, as 65060356 + 577344784 = 8066^2 + 24028^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642405149) 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, 1235135 + ... + 1235654.

It is an arithmetic number, because the mean of its divisors is an integer number (60534355).

Almost surely, 2642405140 is an apocalyptic number.

It is an amenable number.

642405140 is an abundant number, since it is smaller than the sum of its proper divisors (810419380).

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

642405140 is a wasteful number, since it uses less digits than its factorization.

642405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470811 (or 2470809 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 642405140 is about 25345.7124579287. The cubic root of 642405140 is about 862.8520509191.

Adding to 642405140 its reverse (41504246), we get a palindrome (683909386).

The spelling of 642405140 in words is "six hundred forty-two million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2470789 4941578 9883156 12353945 24707890 32120257 49415780 64240514 128481028 160601285 321202570 642405140