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1813000 = 23537237
BaseRepresentation
bin110111010101000001000
310102002222011
412322220020
5431004000
6102505304
721260500
oct6725010
93362864
101813000
111029152
12735234
134b62a7
14352a00
1525c2ba
hex1baa08

1813000 has 96 divisors (see below), whose sum is σ = 5068440. Its totient is φ = 604800.

The previous prime is 1812989. The next prime is 1813001. The reversal of 1813000 is 3181.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 879844 = 966^2 + 938^2 .

It is not an unprimeable number, because it can be changed into a prime (1813001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48982 + ... + 49018.

21813000 is an apocalyptic number.

1813000 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 1813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534220).

1813000 is an abundant number, since it is smaller than the sum of its proper divisors (3255440).

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

1813000 is a wasteful number, since it uses less digits than its factorization.

1813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1813000 is about 1346.4768843170. The cubic root of 1813000 is about 121.9361844879.

Adding to 1813000 its reverse (3181), we get a palindrome (1816181).

The spelling of 1813000 in words is "one million, eight hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 49 50 56 70 74 98 100 125 140 148 175 185 196 200 245 250 259 280 296 350 370 392 490 500 518 700 740 875 925 980 1000 1036 1225 1295 1400 1480 1750 1813 1850 1960 2072 2450 2590 3500 3626 3700 4625 4900 5180 6125 6475 7000 7252 7400 9065 9250 9800 10360 12250 12950 14504 18130 18500 24500 25900 32375 36260 37000 45325 49000 51800 64750 72520 90650 129500 181300 226625 259000 362600 453250 906500 1813000