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1820728280 = 235725211783
BaseRepresentation
bin110110010000110…
…0001101111011000
311200220000120122202
41230201201233120
512212101301110
6500400305332
763055635500
oct15441415730
94626016582
101820728280
11854832118
12429912248
13230299b17
14133b50a00
15a9ca00a5
hex6c861bd8

1820728280 has 96 divisors (see below), whose sum is σ = 4777302240. Its totient is φ = 622702080.

The previous prime is 1820728279. The next prime is 1820728321. The reversal of 1820728280 is 828270281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020269 + ... + 1022051.

It is an arithmetic number, because the mean of its divisors is an integer number (49763565).

Almost surely, 21820728280 is an apocalyptic number.

1820728280 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 1820728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388651120).

1820728280 is an abundant number, since it is smaller than the sum of its proper divisors (2956573960).

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

1820728280 is a wasteful number, since it uses less digits than its factorization.

1820728280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 1820728280 is about 42669.9927349420. The cubic root of 1820728280 is about 1221.0919811946.

The spelling of 1820728280 in words is "one billion, eight hundred twenty million, seven hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 521 980 1042 1783 1960 2084 2605 3566 3647 4168 5210 7132 7294 8915 10420 12481 14264 14588 17830 18235 20840 24962 25529 29176 35660 36470 49924 51058 62405 71320 72940 87367 99848 102116 124810 127645 145880 174734 204232 249620 255290 349468 436835 499240 510580 698936 873670 928943 1021160 1747340 1857886 3494680 3715772 4644715 6502601 7431544 9289430 13005202 18578860 26010404 32513005 37157720 45518207 52020808 65026010 91036414 130052020 182072828 227591035 260104040 364145656 455182070 910364140 1820728280