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10830080040 = 2335136942359
BaseRepresentation
bin10100001011000010…
…11110100000101000
31000221202201001212120
422011201132200220
5134140000030130
64550354111240
7532244106243
oct120541364050
930852631776
1010830080040
11465833047a
122122b7b520
1310379728b0
1474a4bc25a
15435bc7910
hex28585e828

10830080040 has 64 divisors (see below), whose sum is σ = 34989494400. Its totient is φ = 2665865472.

The previous prime is 10830080029. The next prime is 10830080057. The reversal of 10830080040 is 4008003801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469620 + ... + 3472739.

It is an arithmetic number, because the mean of its divisors is an integer number (546710850).

Almost surely, 210830080040 is an apocalyptic number.

10830080040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830080040 is an abundant number, since it is smaller than the sum of its proper divisors (24159414360).

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

10830080040 is a wasteful number, since it uses less digits than its factorization.

10830080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942386 (or 6942382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10830080040 its reverse (4008003801), we get a palindrome (14838083841).

The spelling of 10830080040 in words is "ten billion, eight hundred thirty million, eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6942359 13884718 20827077 27769436 34711795 41654154 55538872 69423590 83308308 90250667 104135385 138847180 166616616 180501334 208270770 270752001 277694360 361002668 416541540 451253335 541504002 722005336 833083080 902506670 1083008004 1353760005 1805013340 2166016008 2707520010 3610026680 5415040020 10830080040