Search a number
-
+
115549056 = 2732722389
BaseRepresentation
bin1101110001100…
…10001110000000
322001102111111200
412320302032000
5214040032211
615244341200
72602102500
oct670621600
9261374450
10115549056
115a251797
1232844800
131ac2902c
14114bba00
15a226b56
hex6e32380

115549056 has 288 divisors, whose sum is σ = 408142800. Its totient is φ = 31223808.

The previous prime is 115549043. The next prime is 115549069. The reversal of 115549056 is 650945511.

115549056 is a `hidden beast` number, since 11 + 554 + 90 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (115549043) and next prime (115549069).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1155490562 = 26703168684982272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115549056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1298260 + ... + 1298348.

Almost surely, 2115549056 is an apocalyptic number.

115549056 is a gapful number since it is divisible by the number (16) 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 115549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204071400).

115549056 is an abundant number, since it is smaller than the sum of its proper divisors (292593744).

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

115549056 is a wasteful number, since it uses less digits than its factorization.

115549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 115549056 is about 10749.3746794872. The cubic root of 115549056 is about 487.0671060446.

The spelling of 115549056 in words is "one hundred fifteen million, five hundred forty-nine thousand, fifty-six".