Search a number
-
+
438069060 = 2234511133161
BaseRepresentation
bin11010000111000…
…110011101000100
31010112022012210000
4122013012131010
51344121202220
6111245201300
713566345162
oct3207063504
91115265700
10438069060
11205307850
12102860230
136c9b0280
1442274232
15286d3390
hex1a1c6744

438069060 has 480 divisors, whose sum is σ = 1693891584. Its totient is φ = 93312000.

The previous prime is 438069053. The next prime is 438069113. The reversal of 438069060 is 60960834.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7181430 + ... + 7181490.

Almost surely, 2438069060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438069060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846945792).

438069060 is an abundant number, since it is smaller than the sum of its proper divisors (1255822524).

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

438069060 is a wasteful number, since it uses less digits than its factorization.

438069060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 438069060 is about 20930.0993786461. The cubic root of 438069060 is about 759.4762434742.

The spelling of 438069060 in words is "four hundred thirty-eight million, sixty-nine thousand, sixty".