Search a number
-
+
1800252 = 223379211
BaseRepresentation
bin110110111100000111100
310101110111000
412313200330
5430102002
6102330300
721205356
oct6674074
93343430
101800252
11101a613
12729990
134b054c
1434c0d6
1525861c
hex1b783c

1800252 has 48 divisors (see below), whose sum is σ = 4748800. Its totient is φ = 589680.

The previous prime is 1800221. The next prime is 1800257. The reversal of 1800252 is 2520081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8427 + ... + 8637.

21800252 is an apocalyptic number.

1800252 is a gapful number since it is divisible by the number (12) 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 1800252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374400).

1800252 is an abundant number, since it is smaller than the sum of its proper divisors (2948548).

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

1800252 is a wasteful number, since it uses less digits than its factorization.

1800252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1800252 is about 1341.7346980681. The cubic root of 1800252 is about 121.6497163684.

The spelling of 1800252 in words is "one million, eight hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 211 237 316 422 474 633 711 844 948 1266 1422 1899 2133 2532 2844 3798 4266 5697 7596 8532 11394 16669 22788 33338 50007 66676 100014 150021 200028 300042 450063 600084 900126 1800252