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1820814912 = 26327264513
BaseRepresentation
bin110110010000111…
…0110111001000000
311200220011222111100
41230201312321000
512212112034122
6500402214400
763056446200
oct15441667100
94626158440
101820814912
11854891214
12429954400
132302ca397
14133b74400
15a9cbaaac
hex6c876e40

1820814912 has 126 divisors (see below), whose sum is σ = 6071218998. Its totient is φ = 520224768.

The previous prime is 1820814899. The next prime is 1820814923. The reversal of 1820814912 is 2194180281.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1329039936 + 491774976 = 36456^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4033 + ... + 60480.

Almost surely, 21820814912 is an apocalyptic number.

1820814912 is a gapful number since it is divisible by the number (12) 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 1820814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035609499).

1820814912 is an abundant number, since it is smaller than the sum of its proper divisors (4250404086).

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

1820814912 is a wasteful number, since it uses less digits than its factorization.

1820814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64545 (or 64525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1820814912 is about 42671.0078624820. The cubic root of 1820814912 is about 1221.1113477971. Note that the first 3 decimals are identical.

The spelling of 1820814912 in words is "one billion, eight hundred twenty million, eight hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 64513 129026 193539 258052 387078 451591 516104 580617 774156 903182 1032208 1161234 1354773 1548312 1806364 2064416 2322468 2709546 3096624 3161137 3612728 4064319 4128832 4644936 5419092 6193248 6322274 7225456 8128638 9289872 9483411 10838184 12386496 12644548 14450912 16257276 18579744 18966822 21676368 25289096 28450233 28901824 32514552 37159488 37933644 43352736 50578192 56900466 65029104 75867288 86705472 101156384 113800932 130058208 151734576 202312768 227601864 260116416 303469152 455203728 606938304 910407456 1820814912