Search a number
-
+
115443240 = 233511194603
BaseRepresentation
bin1101110000110…
…00011000101000
322001020010100120
412320120120220
5214023140430
615242203240
72601152133
oct670303050
9261203316
10115443240
115a18a240
12327b3520
131abbcb13
141149121a
15a205610
hex6e18628

115443240 has 128 divisors (see below), whose sum is σ = 397785600. Its totient is φ = 26507520.

The previous prime is 115443203. The next prime is 115443247. The reversal of 115443240 is 42344511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115443240.

It is not an unprimeable number, because it can be changed into a prime (115443247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22779 + ... + 27381.

It is an arithmetic number, because the mean of its divisors is an integer number (3107700).

Almost surely, 2115443240 is an apocalyptic number.

115443240 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 115443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198892800).

115443240 is an abundant number, since it is smaller than the sum of its proper divisors (282342360).

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

115443240 is a wasteful number, since it uses less digits than its factorization.

115443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 115443240 is about 10744.4515914029. The cubic root of 115443240 is about 486.9183806593.

Adding to 115443240 its reverse (42344511), we get a palindrome (157787751).

The spelling of 115443240 in words is "one hundred fifteen million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 4603 5016 6270 8360 9206 12540 13809 18412 23015 25080 27618 36824 46030 50633 55236 69045 87457 92060 101266 110472 138090 151899 174914 184120 202532 253165 262371 276180 303798 349828 405064 437285 506330 524742 552360 607596 699656 759495 874570 962027 1012660 1049484 1215192 1311855 1518990 1749140 1924054 2025320 2098968 2623710 2886081 3037980 3498280 3848108 4810135 5247420 5772162 6075960 7696216 9620270 10494840 11544324 14430405 19240540 23088648 28860810 38481080 57721620 115443240