Search a number
-
+
190380 = 223519167
BaseRepresentation
bin101110011110101100
3100200011010
4232132230
522043010
64025220
71422021
oct563654
9320133
10190380
11120043
1292210
1368868
144d548
153b620
hex2e7ac

190380 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 47808.

The previous prime is 190369. The next prime is 190387. The reversal of 190380 is 83091.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (190387) by changing a digit.

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, 1057 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2190380 is an apocalyptic number.

190380 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 190380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

190380 is an abundant number, since it is smaller than the sum of its proper divisors (374100).

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

190380 is a wasteful number, since it uses less digits than its factorization.

190380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 190380 is about 436.3255665211. The cubic root of 190380 is about 57.5272712477.

The spelling of 190380 in words is "one hundred ninety thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 167 190 228 285 334 380 501 570 668 835 1002 1140 1670 2004 2505 3173 3340 5010 6346 9519 10020 12692 15865 19038 31730 38076 47595 63460 95190 190380