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112889536 = 26732331
BaseRepresentation
bin1101011101010…
…00111011000000
321212102101022221
412232220323000
5212344431121
615111340424
72540355004
oct656507300
9255371287
10112889536
11587a5641
1231981714
131a507656
1410dc8704
159d9db41
hex6ba8ec0

112889536 has 42 divisors (see below), whose sum is σ = 227812092. Its totient is φ = 55503360.

The previous prime is 112889533. The next prime is 112889561. The reversal of 112889536 is 635988211.

It is a junction number, because it is equal to n+sod(n) for n = 112889492 and 112889501.

It is not an unprimeable number, because it can be changed into a prime (112889533) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 340891 + ... + 341221.

Almost surely, 2112889536 is an apocalyptic number.

112889536 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 112889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906046).

112889536 is an abundant number, since it is smaller than the sum of its proper divisors (114922556).

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

112889536 is an frugal number, since it uses more digits than its factorization.

112889536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 406 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 112889536 is about 10624.9487528176. The cubic root of 112889536 is about 483.3012250833.

The spelling of 112889536 in words is "one hundred twelve million, eight hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 331 584 662 1168 1324 2336 2648 4672 5296 5329 10592 10658 21184 21316 24163 42632 48326 85264 96652 170528 193304 341056 386608 773216 1546432 1763899 3527798 7055596 14111192 28222384 56444768 112889536