Search a number
-
+
1030186080 = 2533571119163
BaseRepresentation
bin111101011001110…
…110010001100000
32122210110212122000
4331121312101200
54102211423310
6250120244000
734346302650
oct7531662140
92583425560
101030186080
11489571060
12249010600
13135578a81
149ab68360
15606954c0
hex3d676460

1030186080 has 768 divisors, whose sum is σ = 4760985600. Its totient is φ = 201553920.

The previous prime is 1030186063. The next prime is 1030186081. The reversal of 1030186080 is 806810301.

1030186080 is a `hidden beast` number, since 10 + 30 + 18 + 608 + 0 = 666.

1030186080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301860802 = 2122566718851532800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030186081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6320079 + ... + 6320241.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 21030186080 is an apocalyptic number.

1030186080 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 1030186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380492800).

1030186080 is an abundant number, since it is smaller than the sum of its proper divisors (3730799520).

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

1030186080 is a wasteful number, since it uses less digits than its factorization.

1030186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1030186080 is about 32096.5119600246. The cubic root of 1030186080 is about 1009.9624467297.

Adding to 1030186080 its reverse (806810301), we get a palindrome (1836996381).

The spelling of 1030186080 in words is "one billion, thirty million, one hundred eighty-six thousand, eighty".