Search a number
-
+
190566090 = 2325111321767
BaseRepresentation
bin10110101101111…
…00111011001010
3111021120202112100
423112330323022
5342241103330
630524254230
74502533161
oct1326747312
9437522470
10190566090
119862a140
12539a1376
1330633300
141b4483d8
1511ae4060
hexb5bceca

190566090 has 288 divisors, whose sum is σ = 628969536. Its totient is φ = 39536640.

The previous prime is 190566049. The next prime is 190566113. The reversal of 190566090 is 90665091.

190566090 is a `hidden beast` number, since 1 + 9 + 0 + 566 + 0 + 90 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2844237 + ... + 2844303.

It is an arithmetic number, because the mean of its divisors is an integer number (2183922).

Almost surely, 2190566090 is an apocalyptic number.

190566090 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 190566090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314484768).

190566090 is an abundant number, since it is smaller than the sum of its proper divisors (438403446).

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

190566090 is a wasteful number, since it uses less digits than its factorization.

190566090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 190566090 is about 13804.5677223157. The cubic root of 190566090 is about 575.4600879677.

Subtracting from 190566090 its reverse (90665091), we obtain a palindrome (99900999).

The spelling of 190566090 in words is "one hundred ninety million, five hundred sixty-six thousand, ninety".