Search a number
-
+
181828300 = 225211316091
BaseRepresentation
bin10101101011001…
…11101011001100
3110200010211112111
422311213223030
5333022001200
630013113404
74335341443
oct1265475314
9420124474
10181828300
1193701325
1250a88864
132b894114
141a211d5a
1510e6a0ba
hexad67acc

181828300 has 36 divisors (see below), whose sum is σ = 398083896. Its totient is φ = 72083200.

The previous prime is 181828291. The next prime is 181828303. The reversal of 181828300 is 3828181.

It is not an unprimeable number, because it can be changed into a prime (181828303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3255 + ... + 19345.

It is an arithmetic number, because the mean of its divisors is an integer number (11057886).

Almost surely, 2181828300 is an apocalyptic number.

181828300 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 181828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199041948).

181828300 is an abundant number, since it is smaller than the sum of its proper divisors (216255596).

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

181828300 is a wasteful number, since it uses less digits than its factorization.

181828300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218 (or 16211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 181828300 is about 13484.3724362686. The cubic root of 181828300 is about 566.5268436258.

The spelling of 181828300 in words is "one hundred eighty-one million, eight hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 16091 32182 64364 80455 160910 321820 402275 804550 1609100 1818283 3636566 7273132 9091415 18182830 36365660 45457075 90914150 181828300