Search a number
-
+
1800516 = 2231953149
BaseRepresentation
bin110110111100101000100
310101110211210
412313211010
5430104031
6102331420
721206214
oct6674504
93343753
101800516
11101a833
12729b70
134b06c3
1434c244
15258746
hex1b7944

1800516 has 48 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 554112.

The previous prime is 1800499. The next prime is 1800529. The reversal of 1800516 is 6150081.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1800492 and 1800501.

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 15 ways as a sum of consecutive naturals, for example, 12010 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

21800516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1800516 is an abundant number, since it is smaller than the sum of its proper divisors (2735484).

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

1800516 is a wasteful number, since it uses less digits than its factorization.

1800516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1800516 is about 1341.8330745663. The cubic root of 1800516 is about 121.6556625647.

Adding to 1800516 its reverse (6150081), we get a palindrome (7950597).

The spelling of 1800516 in words is "one million, eight hundred thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 149 159 212 228 298 318 447 596 636 894 1007 1788 2014 2831 3021 4028 5662 6042 7897 8493 11324 12084 15794 16986 23691 31588 33972 47382 94764 150043 300086 450129 600172 900258 1800516