Search a number
-
+
190241568 = 25331137541
BaseRepresentation
bin10110101011011…
…01101100100000
3111020222021101000
423111231230200
5342200212233
630513312000
74500012066
oct1325555440
9436867330
10190241568
1198428340
1253865600
133054b69a
141b3a2036
1511a7cd13
hexb56db20

190241568 has 192 divisors, whose sum is σ = 622823040. Its totient is φ = 55987200.

The previous prime is 190241567. The next prime is 190241573. The reversal of 190241568 is 865142091.

190241568 is a `hidden beast` number, since 1 + 90 + 2 + 4 + 1 + 568 = 666.

190241568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190241567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351378 + ... + 351918.

It is an arithmetic number, because the mean of its divisors is an integer number (3243870).

Almost surely, 2190241568 is an apocalyptic number.

190241568 is a gapful number since it is divisible by the number (18) 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 190241568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311411520).

190241568 is an abundant number, since it is smaller than the sum of its proper divisors (432581472).

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

190241568 is a wasteful number, since it uses less digits than its factorization.

190241568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 190241568 is about 13792.8085609857. The cubic root of 190241568 is about 575.1332449871.

The spelling of 190241568 in words is "one hundred ninety million, two hundred forty-one thousand, five hundred sixty-eight".