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115455040 = 265421857
BaseRepresentation
bin1101110000110…
…11010001000000
322001020201112121
412320123101000
5214024030130
615242334024
72601231421
oct670332100
9261221477
10115455040
115a198098
12327ba314
131abc52bc
1411495648
15a208d7a
hex6e1b440

115455040 has 56 divisors (see below), whose sum is σ = 275901912. Its totient is φ = 46018560.

The previous prime is 115455037. The next prime is 115455073. The reversal of 115455040 is 40554511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 109998144 = 2336^2 + 10488^2 .

It is a super-2 number, since 2×1154550402 = 26659732522803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115454996 and 115455014.

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 7 ways as a sum of consecutive naturals, for example, 134292 + ... + 135148.

Almost surely, 2115455040 is an apocalyptic number.

115455040 is a gapful number since it is divisible by the number (10) 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 115455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137950956).

115455040 is an abundant number, since it is smaller than the sum of its proper divisors (160446872).

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

115455040 is an equidigital number, since it uses as much as digits as its factorization.

115455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 115455040 is about 10745.0006979990. Note that the first 3 decimals coincide. The cubic root of 115455040 is about 486.9349701716.

The spelling of 115455040 in words is "one hundred fifteen million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 421 842 857 1684 1714 2105 3368 3428 4210 4285 6736 6856 8420 8570 13472 13712 16840 17140 26944 27424 33680 34280 54848 67360 68560 134720 137120 274240 360797 721594 1443188 1803985 2886376 3607970 5772752 7215940 11545504 14431880 23091008 28863760 57727520 115455040