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2750106840 = 2335132636703
BaseRepresentation
bin1010001111101011…
…0100110011011000
321002122210220100220
42203322310303120
521113011404330
61132520200040
7125102344125
oct24372646330
97078726326
102750106840
1111913aaa78
12649009020
1334a9ab670
141c135774c
15111681710
hexa3eb4cd8

2750106840 has 128 divisors (see below), whose sum is σ = 8920074240. Its totient is φ = 674274816.

The previous prime is 2750106833. The next prime is 2750106869. The reversal of 2750106840 is 486010572.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 406929 + ... + 413631.

It is an arithmetic number, because the mean of its divisors is an integer number (69688080).

Almost surely, 22750106840 is an apocalyptic number.

2750106840 is a gapful number since it is divisible by the number (20) 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 2750106840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460037120).

2750106840 is an abundant number, since it is smaller than the sum of its proper divisors (6169967400).

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

2750106840 is a wasteful number, since it uses less digits than its factorization.

2750106840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2750106840 is about 52441.4610780440. The cubic root of 2750106840 is about 1401.0378087220.

The spelling of 2750106840 in words is "two billion, seven hundred fifty million, one hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 263 312 390 520 526 780 789 1052 1315 1560 1578 2104 2630 3156 3419 3945 5260 6312 6703 6838 7890 10257 10520 13406 13676 15780 17095 20109 20514 26812 27352 31560 33515 34190 40218 41028 51285 53624 67030 68380 80436 82056 87139 100545 102570 134060 136760 160872 174278 201090 205140 261417 268120 348556 402180 410280 435695 522834 697112 804360 871390 1045668 1307085 1742780 1762889 2091336 2614170 3485560 3525778 5228340 5288667 7051556 8814445 10456680 10577334 14103112 17628890 21154668 22917557 26443335 35257780 42309336 45835114 52886670 68752671 70515560 91670228 105773340 114587785 137505342 183340456 211546680 229175570 275010684 343763355 458351140 550021368 687526710 916702280 1375053420 2750106840