Search a number
-
+
115805632 = 2617163653
BaseRepresentation
bin1101110011100…
…00110111000000
322001220112110111
412321300313000
5214121240012
615254041104
72604221515
oct671606700
9261815414
10115805632
115a407538
1232949194
131acb8a57
141154730c
15a277ba7
hex6e70dc0

115805632 has 56 divisors (see below), whose sum is σ = 245187216. Its totient is φ = 54079488.

The previous prime is 115805629. The next prime is 115805647. The reversal of 115805632 is 236508511.

It is a junction number, because it is equal to n+sod(n) for n = 115805594 and 115805603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177018 + ... + 177670.

Almost surely, 2115805632 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 115805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122593608).

115805632 is an abundant number, since it is smaller than the sum of its proper divisors (129381584).

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

115805632 is a wasteful number, since it uses less digits than its factorization.

115805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 115805632 is about 10761.3025233937. The cubic root of 115805632 is about 487.4273494191.

The spelling of 115805632 in words is "one hundred fifteen million, eight hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 163 272 326 544 652 653 1088 1304 1306 2608 2612 2771 5216 5224 5542 10432 10448 11084 11101 20896 22168 22202 41792 44336 44404 88672 88808 106439 177344 177616 212878 355232 425756 710464 851512 1703024 1809463 3406048 3618926 6812096 7237852 14475704 28951408 57902816 115805632