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2739331680 = 253516993359
BaseRepresentation
bin1010001101000110…
…1110001001100000
321001220112110121220
42203101232021200
521102232103210
61131453215040
7124611635511
oct24321561140
97056473556
102739331680
111186310488
12645491480
133486a8027
141bdb50a08
15110753c70
hexa346e260

2739331680 has 96 divisors (see below), whose sum is σ = 8636544000. Its totient is φ = 729841152.

The previous prime is 2739331627. The next prime is 2739331723. The reversal of 2739331680 is 861339372.

It is a happy number.

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

It is a congruent number.

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, 813841 + ... + 817199.

It is an arithmetic number, because the mean of its divisors is an integer number (89964000).

Almost surely, 22739331680 is an apocalyptic number.

2739331680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2739331680 is an abundant number, since it is smaller than the sum of its proper divisors (5897212320).

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

2739331680 is a wasteful number, since it uses less digits than its factorization.

2739331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2739331680 is about 52338.6251252361. The cubic root of 2739331680 is about 1399.2056173669.

The spelling of 2739331680 in words is "two billion, seven hundred thirty-nine million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1699 3359 3398 5097 6718 6796 8495 10077 10194 13436 13592 16795 16990 20154 20388 25485 26872 27184 33590 33980 40308 40776 50385 50970 53744 54368 67180 67960 80616 81552 100770 101940 107488 134360 135920 161232 163104 201540 203880 268720 271840 322464 403080 407760 537440 806160 815520 1612320 5706941 11413882 17120823 22827764 28534705 34241646 45655528 57069410 68483292 85604115 91311056 114138820 136966584 171208230 182622112 228277640 273933168 342416460 456555280 547866336 684832920 913110560 1369665840 2739331680