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1819082420 = 2251923297177
BaseRepresentation
bin110110001101100…
…1111111010110100
311200202220221221222
41230123033322310
512211141114140
6500301125512
763035642201
oct15433177264
94622827858
101819082420
11853908601
12429259898
1322cb4193c
14133842ca8
15a9a775b5
hex6c6cfeb4

1819082420 has 96 divisors (see below), whose sum is σ = 4341254400. Its totient is φ = 636539904.

The previous prime is 1819082413. The next prime is 1819082431. The reversal of 1819082420 is 242809181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249872 + ... + 257048.

It is an arithmetic number, because the mean of its divisors is an integer number (45221400).

Almost surely, 21819082420 is an apocalyptic number.

1819082420 is a gapful number since it is divisible by the number (10) 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 1819082420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170627200).

1819082420 is an abundant number, since it is smaller than the sum of its proper divisors (2522171980).

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

1819082420 is a wasteful number, since it uses less digits than its factorization.

1819082420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1819082420 is about 42650.7024561144. The cubic root of 1819082420 is about 1220.7239320739.

The spelling of 1819082420 in words is "one billion, eight hundred nineteen million, eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 29 38 46 58 76 92 95 115 116 145 190 230 290 380 437 460 551 580 667 874 1102 1334 1748 2185 2204 2668 2755 3335 4370 5510 6670 7177 8740 11020 12673 13340 14354 25346 28708 35885 50692 63365 71770 126730 136363 143540 165071 208133 253460 272726 330142 416266 545452 660284 681815 825355 832532 1040665 1363630 1650710 2081330 2727260 3136349 3301420 3954527 4162660 4787059 6272698 7909054 9574118 12545396 15681745 15818108 19148236 19772635 23935295 31363490 39545270 47870590 62726980 79090540 90954121 95741180 181908242 363816484 454770605 909541210 1819082420