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1313130440 = 235291132009
BaseRepresentation
bin100111001000100…
…1100011111001000
310101111212221022202
41032101030133020
510142130133230
6334144535332
744353265426
oct11621143710
93344787282
101313130440
11614256376
12307921548
1317c08467b
14c657c116
157a435a45
hex4e44c7c8

1313130440 has 32 divisors (see below), whose sum is σ = 3056427000. Its totient is φ = 507139584.

The previous prime is 1313130433. The next prime is 1313130443. The reversal of 1313130440 is 440313131.

It can be written as a sum of positive squares in 4 ways, for example, as 742780516 + 570349924 = 27254^2 + 23882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1313130443) 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, 564845 + ... + 567164.

Almost surely, 21313130440 is an apocalyptic number.

1313130440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313130440 is an abundant number, since it is smaller than the sum of its proper divisors (1743296560).

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

1313130440 is a wasteful number, since it uses less digits than its factorization.

1313130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132049 (or 1132045 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1313130440 is about 36237.1417195120. The cubic root of 1313130440 is about 1095.0550600254.

Adding to 1313130440 its reverse (440313131), we get a palindrome (1753443571).

The spelling of 1313130440 in words is "one billion, three hundred thirteen million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1132009 2264018 4528036 5660045 9056072 11320090 22640180 32828261 45280360 65656522 131313044 164141305 262626088 328282610 656565220 1313130440