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1040134130 = 25767463479
BaseRepresentation
bin111101111111110…
…010111111110010
32200111012021210022
4331333302333302
54112233243010
6251113403442
734526665010
oct7577627762
92614167708
101040134130
11494146192
12250409582
1313764caa9
149c1d78b0
15614acd55
hex3dff2ff2

1040134130 has 64 divisors (see below), whose sum is σ = 2180874240. Its totient is φ = 349804224.

The previous prime is 1040134127. The next prime is 1040134141. The reversal of 1040134130 is 314310401.

It is a junction number, because it is equal to n+sod(n) for n = 1040134099 and 1040134108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2171231 + ... + 2171709.

It is an arithmetic number, because the mean of its divisors is an integer number (34076160).

Almost surely, 21040134130 is an apocalyptic number.

1040134130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1040134130 is an abundant number, since it is smaller than the sum of its proper divisors (1140740110).

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

1040134130 is a wasteful number, since it uses less digits than its factorization.

1040134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1040134130 is about 32251.1105235153. The cubic root of 1040134130 is about 1013.2029580603.

Adding to 1040134130 its reverse (314310401), we get a palindrome (1354444531).

The spelling of 1040134130 in words is "one billion, forty million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 67 70 134 335 463 469 479 670 926 938 958 2315 2345 2395 3241 3353 4630 4690 4790 6482 6706 16205 16765 31021 32093 32410 33530 62042 64186 155105 160465 217147 221777 224651 310210 320930 434294 443554 449302 1085735 1108885 1123255 1552439 2171470 2217770 2246510 3104878 7762195 14859059 15524390 29718118 74295295 104013413 148590590 208026826 520067065 1040134130