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20206830420 = 22325720177951
BaseRepresentation
bin10010110100011010…
…111100001101010100
31221011020201100020200
4102310122330031110
5312340422033140
613141034300500
71313513140020
oct226432741524
957136640220
1020206830420
11862a257857
123abb287730
131ba04b3bba
14d99965380
157d3ec4030
hex4b46bc354

20206830420 has 144 divisors (see below), whose sum is σ = 70093890048. Its totient is φ = 4615833600.

The previous prime is 20206830373. The next prime is 20206830431. The reversal of 20206830420 is 2403860202.

20206830420 is a `hidden beast` number, since 2 + 0 + 206 + 8 + 30 + 420 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2537445 + ... + 2545395.

Almost surely, 220206830420 is an apocalyptic number.

20206830420 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 20206830420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35046945024).

20206830420 is an abundant number, since it is smaller than the sum of its proper divisors (49887059628).

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

20206830420 is a wasteful number, since it uses less digits than its factorization.

20206830420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20206830420 in words is "twenty billion, two hundred six million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2017 4034 6051 7951 8068 10085 12102 14119 15902 18153 20170 23853 24204 28238 30255 31804 36306 39755 40340 42357 47706 55657 56476 60510 70595 71559 72612 79510 84714 90765 95412 111314 119265 121020 127071 141190 143118 159020 166971 169428 181530 211785 222628 238530 254142 278285 282380 286236 333942 357795 363060 423570 477060 500913 508284 556570 635355 667884 715590 834855 847140 1001826 1113140 1270710 1431180 1669710 2003652 2504565 2541420 3339420 5009130 10018260 16037167 32074334 48111501 64148668 80185835 96223002 112260169 144334503 160371670 192446004 224520338 240557505 288669006 320743340 336780507 449040676 481115010 561300845 577338012 673561014 721672515 962230020 1010341521 1122601690 1347122028 1443345030 1683902535 2020683042 2245203380 2886690060 3367805070 4041366084 5051707605 6735610140 10103415210 20206830420