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2754902080 = 26574013067
BaseRepresentation
bin1010010000110100…
…0111100001000000
321002222211112012101
42210031013201000
521120223331310
61133211040144
7125161165330
oct24415074100
97088745171
102754902080
111194085787
1264a740054
1334b99a198
141c1c450c0
15111ccc43a
hexa4347840

2754902080 has 112 divisors (see below), whose sum is σ = 7518416256. Its totient is φ = 941875200.

The previous prime is 2754902011. The next prime is 2754902123. The reversal of 2754902080 is 802094572.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896707 + ... + 899773.

Almost surely, 22754902080 is an apocalyptic number.

2754902080 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 2754902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759208128).

2754902080 is an abundant number, since it is smaller than the sum of its proper divisors (4763514176).

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

2754902080 is a wasteful number, since it uses less digits than its factorization.

2754902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2754902080 is about 52487.1610967863. The cubic root of 2754902080 is about 1401.8516451657.

The spelling of 2754902080 in words is "two billion, seven hundred fifty-four million, nine hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 401 448 560 802 1120 1604 2005 2240 2807 3067 3208 4010 5614 6134 6416 8020 11228 12268 12832 14035 15335 16040 21469 22456 24536 25664 28070 30670 32080 42938 44912 49072 56140 61340 64160 85876 89824 98144 107345 112280 122680 128320 171752 179648 196288 214690 224560 245360 343504 429380 449120 490720 687008 858760 898240 981440 1229867 1374016 1717520 2459734 3435040 4919468 6149335 6870080 8609069 9838936 12298670 17218138 19677872 24597340 34436276 39355744 43045345 49194680 68872552 78711488 86090690 98389360 137745104 172181380 196778720 275490208 344362760 393557440 550980416 688725520 1377451040 2754902080