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1341025040 = 245371792531
BaseRepresentation
bin100111111101110…
…0110101100010000
310110110101010112002
41033323212230100
510221300300130
6341022453132
745142344665
oct11773465420
93413333462
101341025040
11628a78a63
123151341a8
13184aa0254
14ca15da6c
157cae5b45
hex4fee6b10

1341025040 has 80 divisors (see below), whose sum is σ = 3221311680. Its totient is φ = 518791680.

The previous prime is 1341025031. The next prime is 1341025043. The reversal of 1341025040 is 405201431.

It is a tau number, because it is divible by the number of its divisors (80).

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 (1341025043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528575 + ... + 531105.

It is an arithmetic number, because the mean of its divisors is an integer number (40266396).

Almost surely, 21341025040 is an apocalyptic number.

1341025040 is a gapful number since it is divisible by the number (10) 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 1341025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610655840).

1341025040 is an abundant number, since it is smaller than the sum of its proper divisors (1880286640).

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

1341025040 is a wasteful number, since it uses less digits than its factorization.

1341025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1341025040 is about 36620.0087383933. The cubic root of 1341025040 is about 1102.7548141571.

Adding to 1341025040 its reverse (405201431), we get a palindrome (1746226471).

The spelling of 1341025040 in words is "one billion, three hundred forty-one million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 179 185 296 358 370 592 716 740 895 1432 1480 1790 2531 2864 2960 3580 5062 6623 7160 10124 12655 13246 14320 20248 25310 26492 33115 40496 50620 52984 66230 93647 101240 105968 132460 187294 202480 264920 374588 453049 468235 529840 749176 906098 936470 1498352 1812196 1872940 2265245 3624392 3745880 4530490 7248784 7491760 9060980 16762813 18121960 33525626 36243920 67051252 83814065 134102504 167628130 268205008 335256260 670512520 1341025040