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5430774300 = 22352710724169
BaseRepresentation
bin1010000111011001…
…10000101000011100
3112000110221220210220
411003230300220130
542110234234200
62254520201340
7251402551140
oct50354605034
915013856726
105430774300
112337592126
121076909250
13687186723
14397397220
1521bb984a0
hex143b30a1c

5430774300 has 144 divisors (see below), whose sum is σ = 18126339840. Its totient is φ = 1229667840.

The previous prime is 5430774247. The next prime is 5430774347. The reversal of 5430774300 is 34770345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212616 + ... + 236784.

It is an arithmetic number, because the mean of its divisors is an integer number (125877360).

Almost surely, 25430774300 is an apocalyptic number.

5430774300 is a gapful number since it is divisible by the number (50) 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 5430774300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063169920).

5430774300 is an abundant number, since it is smaller than the sum of its proper divisors (12695565540).

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

5430774300 is a wasteful number, since it uses less digits than its factorization.

5430774300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24300 (or 24293 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 5430774300 is about 73693.7873907971. The cubic root of 5430774300 is about 1757.7370947486.

The spelling of 5430774300 in words is "five billion, four hundred thirty million, seven hundred seventy-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 525 535 642 700 749 1050 1070 1284 1498 1605 2100 2140 2247 2675 2996 3210 3745 4494 5350 6420 7490 8025 8988 10700 11235 14980 16050 18725 22470 24169 32100 37450 44940 48338 56175 72507 74900 96676 112350 120845 145014 169183 224700 241690 290028 338366 362535 483380 507549 604225 676732 725070 845915 1015098 1208450 1450140 1691830 1812675 2030196 2416900 2537745 2586083 3383660 3625350 4229575 5075490 5172166 7250700 7758249 8459150 10150980 10344332 12688725 12930415 15516498 16918300 18102581 25377450 25860830 31032996 36205162 38791245 50754900 51721660 54307743 64652075 72410324 77582490 90512905 108615486 129304150 155164980 181025810 193956225 217230972 258608300 271538715 362051620 387912450 452564525 543077430 775824900 905129050 1086154860 1357693575 1810258100 2715387150 5430774300