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6090106080 = 2535101125621
BaseRepresentation
bin1011010101111111…
…11010010011100000
3120201102121102222110
411222333322103200
544433031343310
62444152035320
7303630022212
oct55277722340
916642542873
106090106080
112645784923
12121b692b40
13760957086
1441ab865b2
152599d5d20
hex16affa4e0

6090106080 has 96 divisors (see below), whose sum is σ = 19373927328. Its totient is φ = 1607936000.

The previous prime is 6090106063. The next prime is 6090106091. The reversal of 6090106080 is 806010906.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14331 + ... + 111290.

It is an arithmetic number, because the mean of its divisors is an integer number (201811743).

Almost surely, 26090106080 is an apocalyptic number.

6090106080 is a gapful number since it is divisible by the number (60) 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 6090106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686963664).

6090106080 is an abundant number, since it is smaller than the sum of its proper divisors (13283821248).

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

6090106080 is a wasteful number, since it uses less digits than its factorization.

6090106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125740 (or 125732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6090106080 is about 78039.1317224891. The cubic root of 6090106080 is about 1826.1717456716.

Adding to 6090106080 its reverse (806010906), we get a palindrome (6896116986).

The spelling of 6090106080 in words is "six billion, ninety million, one hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480 125621 251242 376863 502484 628105 753726 1004968 1256210 1507452 1884315 2009936 2512420 3014904 3768630 4019872 5024840 6029808 7537260 10049680 12059616 12687721 15074520 20099360 25375442 30149040 38063163 50750884 60298080 63438605 76126326 101501768 126877210 152252652 190315815 203003536 253754420 304505304 380631630 406007072 507508840 609010608 761263260 1015017680 1218021216 1522526520 2030035360 3045053040 6090106080