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115434024 = 23341731607
BaseRepresentation
bin1101110000101…
…10001000101000
322001012122201020
412320112020220
5214022342044
615242052440
72601113226
oct670261050
9261178636
10115434024
115a183322
12327aa120
131abb8874
141148bb16
15a202a19
hex6e16228

115434024 has 64 divisors (see below), whose sum is σ = 299859840. Its totient is φ = 37002240.

The previous prime is 115434013. The next prime is 115434037. The reversal of 115434024 is 420434511.

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

It is a junction number, because it is equal to n+sod(n) for n = 115433985 and 115434003.

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 15 ways as a sum of consecutive naturals, for example, 71029 + ... + 72635.

It is an arithmetic number, because the mean of its divisors is an integer number (4685310).

Almost surely, 2115434024 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 115434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149929920).

115434024 is an abundant number, since it is smaller than the sum of its proper divisors (184425816).

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

115434024 is a wasteful number, since it uses less digits than its factorization.

115434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1726 counting only the distinct ones).

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

The square root of 115434024 is about 10744.0227103260. The cubic root of 115434024 is about 486.9054231828.

Adding to 115434024 its reverse (420434511), we get a palindrome (535868535).

The spelling of 115434024 in words is "one hundred fifteen million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 123 146 164 219 246 292 328 438 492 584 876 984 1607 1752 2993 3214 4821 5986 6428 8979 9642 11972 12856 17958 19284 23944 35916 38568 65887 71832 117311 131774 197661 234622 263548 351933 395322 469244 527096 703866 790644 938488 1407732 1581288 2815464 4809751 9619502 14429253 19239004 28858506 38478008 57717012 115434024