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1820780 = 2251347149
BaseRepresentation
bin110111100100001101100
310102111122022
412330201230
5431231110
6103005312
721322253
oct6744154
93374568
101820780
111033a85
12739838
134b99b0
1435579a
1525e755
hex1bc86c

1820780 has 48 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 653568.

The previous prime is 1820773. The next prime is 1820783. The reversal of 1820780 is 870281.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1820783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12146 + ... + 12294.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

21820780 is an apocalyptic number.

1820780 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 1820780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

1820780 is an abundant number, since it is smaller than the sum of its proper divisors (2412820).

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

1820780 is a wasteful number, since it uses less digits than its factorization.

1820780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1820780 is about 1349.3628125897. The cubic root of 1820780 is about 122.1103543286.

The spelling of 1820780 in words is "one million, eight hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 149 188 235 260 298 470 596 611 745 940 1222 1490 1937 2444 2980 3055 3874 6110 7003 7748 9685 12220 14006 19370 28012 35015 38740 70030 91039 140060 182078 364156 455195 910390 1820780