Search a number
-
+
115729488 = 243272937107
BaseRepresentation
bin1101110010111…
…10010001010000
322001202200000100
412321132101100
5214111320423
615252252400
72603453520
oct671362120
9261680010
10115729488
115a365306
1232911100
131ac901b4
1411527680
15a260343
hex6e5e450

115729488 has 240 divisors, whose sum is σ = 396938880. Its totient is φ = 30772224.

The previous prime is 115729457. The next prime is 115729499. The reversal of 115729488 is 884927511.

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 47 ways as a sum of consecutive naturals, for example, 1081531 + ... + 1081637.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2115729488 is an apocalyptic number.

115729488 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 115729488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

115729488 is an abundant number, since it is smaller than the sum of its proper divisors (281209392).

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

115729488 is a wasteful number, since it uses less digits than its factorization.

115729488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 115729488 is about 10757.7640799564. The cubic root of 115729488 is about 487.3204956478.

The spelling of 115729488 in words is "one hundred fifteen million, seven hundred twenty-nine thousand, four hundred eighty-eight".