Search a number
-
+
239987328 = 27371937127
BaseRepresentation
bin11100100110111…
…10101010000000
3121201120121201120
432103132222000
5442414043303
635451432240
75642600340
oct1623365200
9551517646
10239987328
11113515039
1268455680
133a948149
1423c30d20
1516107553
hexe4dea80

239987328 has 256 divisors, whose sum is σ = 793804800. Its totient is φ = 62705664.

The previous prime is 239987327. The next prime is 239987329. The reversal of 239987328 is 823789932.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (239987327) and next prime (239987329).

It is not an unprimeable number, because it can be changed into a prime (239987323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1889601 + ... + 1889727.

It is an arithmetic number, because the mean of its divisors is an integer number (3100800).

Almost surely, 2239987328 is an apocalyptic number.

239987328 is a gapful number since it is divisible by the number (28) 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 239987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396902400).

239987328 is an abundant number, since it is smaller than the sum of its proper divisors (553817472).

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

239987328 is a wasteful number, since it uses less digits than its factorization.

239987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 239987328 is about 15491.5243923895. The cubic root of 239987328 is about 621.4355635398.

The spelling of 239987328 in words is "two hundred thirty-nine million, nine hundred eighty-seven thousand, three hundred twenty-eight".