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1820012824 = 237124926021
BaseRepresentation
bin110110001111011…
…0011000100011000
311200211200020020101
41230132303010120
512211410402244
6500333105144
763046565560
oct15436630430
94624606211
101820012824
11854393633
124296281b4
132300a9286
14133a05da0
15a9bad0d4
hex6c7b3118

1820012824 has 32 divisors (see below), whose sum is σ = 3903300000. Its totient is φ = 779351040.

The previous prime is 1820012771. The next prime is 1820012851. The reversal of 1820012824 is 4282100281.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1820012792 and 1820012801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56934 + ... + 82954.

It is an arithmetic number, because the mean of its divisors is an integer number (121978125).

Almost surely, 21820012824 is an apocalyptic number.

1820012824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1820012824 is an abundant number, since it is smaller than the sum of its proper divisors (2083287176).

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

1820012824 is a wasteful number, since it uses less digits than its factorization.

1820012824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27283 (or 27279 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 1820012824 is about 42661.6083147366. The cubic root of 1820012824 is about 1220.9320173583.

The spelling of 1820012824 in words is "one billion, eight hundred twenty million, twelve thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 1249 2498 4996 8743 9992 17486 26021 34972 52042 69944 104084 182147 208168 364294 728588 1457176 32500229 65000458 130000916 227501603 260001832 455003206 910006412 1820012824