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1812020 = 22572432
BaseRepresentation
bin110111010011000110100
310102001121212
412322120310
5430441040
6102500552
721254600
oct6723064
93361555
101812020
111028441
12734758
134b5a02
14352500
1525bd65
hex1ba634

1812020 has 54 divisors (see below), whose sum is σ = 4531842. Its totient is φ = 606816.

The previous prime is 1811993. The next prime is 1812037. The reversal of 1812020 is 202181.

It can be written as a sum of positive squares in only one way, i.e., 1449616 + 362404 = 1204^2 + 602^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1811986 and 1812004.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 42119 + ... + 42161.

It is an arithmetic number, because the mean of its divisors is an integer number (83923).

21812020 is an apocalyptic number.

1812020 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 1812020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265921).

1812020 is an abundant number, since it is smaller than the sum of its proper divisors (2719822).

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

1812020 is a wasteful number, since it uses less digits than its factorization.

1812020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1812020 is about 1346.1129224549. The cubic root of 1812020 is about 121.9142100444.

The spelling of 1812020 in words is "one million, eight hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1505 1849 2107 3010 3698 4214 6020 7396 8428 9245 10535 12943 18490 21070 25886 36980 42140 51772 64715 90601 129430 181202 258860 362404 453005 906010 1812020