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188730 = 2345233
BaseRepresentation
bin101110000100111010
3100120220000
4232010322
522014410
64013430
71414143
oct560472
9316800
10188730
11119883
1291276
1367b99
144caca
153adc0
hex2e13a

188730 has 40 divisors (see below), whose sum is σ = 509652. Its totient is φ = 50112.

The previous prime is 188729. The next prime is 188753. The reversal of 188730 is 37881.

188730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 9801 = 423^2 + 99^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 188694 and 188703.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694 + ... + 926.

2188730 is an apocalyptic number.

188730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 188730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254826).

188730 is an abundant number, since it is smaller than the sum of its proper divisors (320922).

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

188730 is a wasteful number, since it uses less digits than its factorization.

188730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 188730 is about 434.4306619013. The cubic root of 188730 is about 57.3605948714.

The spelling of 188730 in words is "one hundred eighty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 233 270 405 466 699 810 1165 1398 2097 2330 3495 4194 6291 6990 10485 12582 18873 20970 31455 37746 62910 94365 188730