Search a number
-
+
182030832 = 243217235361
BaseRepresentation
bin10101101100110…
…01000111110000
3110200112010100200
422312121013300
5333044441312
630021315200
74340144064
oct1266310760
9420463320
10182030832
119382a505
1250b65b00
132b935369
141a265aa4
1510eaa0dc
hexad991f0

182030832 has 240 divisors, whose sum is σ = 582873408. Its totient is φ = 52715520.

The previous prime is 182030813. The next prime is 182030833. The reversal of 182030832 is 238030281.

182030832 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 2×1820308322 = 66270447597224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 182030796 and 182030805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182030833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2984082 + ... + 2984142.

Almost surely, 2182030832 is an apocalyptic number.

182030832 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 182030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291436704).

182030832 is an abundant number, since it is smaller than the sum of its proper divisors (400842576).

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

182030832 is a wasteful number, since it uses less digits than its factorization.

182030832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 182030832 is about 13491.8802247871. The cubic root of 182030832 is about 566.7371101969.

The spelling of 182030832 in words is "one hundred eighty-two million, thirty thousand, eight hundred thirty-two".