Search a number
-
+
115070648 = 23711367509
BaseRepresentation
bin1101101101111…
…01011010111000
322000112012020212
412312331122320
5213424230043
615230210252
72565040640
oct666753270
9260465225
10115070648
1159a55310
1232653988
131aabc354
14113d5520
15a180018
hex6dbd6b8

115070648 has 64 divisors (see below), whose sum is σ = 270259200. Its totient is φ = 44622720.

The previous prime is 115070621. The next prime is 115070701. The reversal of 115070648 is 846070511.

It is a happy number.

It is a super-2 number, since 2×1150706482 = 26482508062279808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225818 + ... + 226326.

It is an arithmetic number, because the mean of its divisors is an integer number (4222800).

Almost surely, 2115070648 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 115070648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129600).

115070648 is an abundant number, since it is smaller than the sum of its proper divisors (155188552).

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

115070648 is a wasteful number, since it uses less digits than its factorization.

115070648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 115070648 is about 10727.0987690055. The cubic root of 115070648 is about 486.3939745437.

The spelling of 115070648 in words is "one hundred fifteen million, seventy thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 367 509 616 734 1018 1468 2036 2569 2936 3563 4037 4072 5138 5599 7126 8074 10276 11198 14252 16148 20552 22396 28259 28504 32296 39193 44792 56518 78386 113036 156772 186803 226072 313544 373606 747212 1307621 1494424 2054833 2615242 4109666 5230484 8219332 10460968 14383831 16438664 28767662 57535324 115070648