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2754300420 = 22325191137127
BaseRepresentation
bin1010010000101011…
…0100101000000100
321002221200221212200
42210022310220010
521120100103140
61133150114500
7125153111244
oct24412645004
97087627780
102754300420
111193804743
1264a4aba30
1334b819381
141c1b29b24
15111c0e030
hexa42b4a04

2754300420 has 144 divisors (see below), whose sum is σ = 8873504640. Its totient is φ = 689568768.

The previous prime is 2754300391. The next prime is 2754300421. The reversal of 2754300420 is 240034572.

It is a super-2 number, since 2×27543004202 = 15172341607224352800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2754300421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 382897 + ... + 390023.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 22754300420 is an apocalyptic number.

2754300420 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 2754300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436752320).

2754300420 is an abundant number, since it is smaller than the sum of its proper divisors (6119204220).

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

2754300420 is a wasteful number, since it uses less digits than its factorization.

2754300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2754300420 is about 52481.4292869392. The cubic root of 2754300420 is about 1401.7495847361.

Adding to 2754300420 its reverse (240034572), we get a palindrome (2994334992).

The spelling of 2754300420 in words is "two billion, seven hundred fifty-four million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1356 1695 1710 2034 2147 2260 3390 3420 4068 4294 5085 6441 6780 7127 8588 10170 10735 12882 14254 19323 20340 21381 21470 25764 28508 32205 35635 38646 42762 42940 64143 64410 71270 77292 85524 96615 106905 128286 128820 135413 142540 193230 213810 256572 270826 320715 386460 406239 427620 541652 641430 677065 805351 812478 1218717 1282860 1354130 1610702 1624956 2031195 2416053 2437434 2708260 3221404 4026755 4062390 4832106 4874868 6093585 7248159 8053510 8124780 9664212 12080265 12187170 14496318 15301669 16107020 24160530 24374340 28992636 30603338 36240795 45905007 48321060 61206676 72481590 76508345 91810014 137715021 144963180 153016690 183620028 229525035 275430042 306033380 459050070 550860084 688575105 918100140 1377150210 2754300420