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1820049216 = 26319717027
BaseRepresentation
bin110110001111011…
…1011111101000000
311200211202002011020
41230132323331000
512211413033331
6500333545440
763050106636
oct15436737500
94624662136
101820049216
11854408a07
12429645280
132300bc9cb
14133a15356
15a9bb8c96
hex6c7bbf40

1820049216 has 112 divisors (see below), whose sum is σ = 5141122560. Its totient is φ = 566576640.

The previous prime is 1820049211. The next prime is 1820049227. The reversal of 1820049216 is 6129400281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820049211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255495 + ... + 262521.

It is an arithmetic number, because the mean of its divisors is an integer number (45902880).

Almost surely, 21820049216 is an apocalyptic number.

1820049216 is a gapful number since it is divisible by the number (16) 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 1820049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570561280).

1820049216 is an abundant number, since it is smaller than the sum of its proper divisors (3321073344).

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

1820049216 is a wasteful number, since it uses less digits than its factorization.

1820049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1820049216 is about 42662.0348319205. The cubic root of 1820049216 is about 1220.9401550046.

Adding to 1820049216 its reverse (6129400281), we get a palindrome (7949449497).

The spelling of 1820049216 in words is "one billion, eight hundred twenty million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 142 152 192 213 228 284 304 426 456 568 608 852 912 1136 1216 1349 1704 1824 2272 2698 3408 3648 4047 4544 5396 6816 7027 8094 10792 13632 14054 16188 21081 21584 28108 32376 42162 43168 56216 64752 84324 86336 112432 129504 133513 168648 224864 259008 267026 337296 400539 449728 498917 534052 674592 801078 997834 1068104 1349184 1496751 1602156 1995668 2136208 2993502 3204312 3991336 4272416 5987004 6408624 7982672 8544832 9479423 11974008 12817248 15965344 18958846 23948016 25634496 28438269 31930688 37917692 47896032 56876538 75835384 95792064 113753076 151670768 227506152 303341536 455012304 606683072 910024608 1820049216