Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
190512 = 243572
BaseRepresentation
bin101110100000110000
3100200100000
4232200300
522044022
64030000
71422300
oct564060
9320300
10190512
11120153
1292300
136893a
144d600
153b6ac
hex2e830

190512 has 90 divisors (see below), whose sum is σ = 643188. Its totient is φ = 54432.

The previous prime is 190507. The next prime is 190523. The reversal of 190512 is 215091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

190512 is nontrivially palindromic in base 5.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27213 + ... + 27219.

2190512 is an apocalyptic number.

190512 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 190512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594).

190512 is an abundant number, since it is smaller than the sum of its proper divisors (452676).

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

190512 is an equidigital number, since it uses as much as digits as its factorization.

190512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 190512 is about 436.4768035074. The cubic root of 190512 is about 57.5405636899.

The spelling of 190512 in words is "one hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 243 252 294 324 336 378 392 432 441 486 504 567 588 648 756 784 882 972 1008 1134 1176 1296 1323 1512 1701 1764 1944 2268 2352 2646 3024 3402 3528 3888 3969 4536 5292 6804 7056 7938 9072 10584 11907 13608 15876 21168 23814 27216 31752 47628 63504 95256 190512