Search a number
-
+
9893136 = 2431141457
BaseRepresentation
bin100101101111…
…010100010000
3200121121211110
4211233110100
510013040021
6552013320
7150042651
oct45572420
920547743
109893136
115647950
123391240
132085036
141457528
15d06476
hex96f510

9893136 has 80 divisors (see below), whose sum is σ = 28623168. Its totient is φ = 2918400.

The previous prime is 9893131. The next prime is 9893137. The reversal of 9893136 is 6313989.

It is a junction number, because it is equal to n+sod(n) for n = 9893094 and 9893103.

It is not an unprimeable number, because it can be changed into a prime (9893131) 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 15 ways as a sum of consecutive naturals, for example, 21420 + ... + 21876.

Almost surely, 29893136 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 9893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311584).

9893136 is an abundant number, since it is smaller than the sum of its proper divisors (18730032).

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

9893136 is a wasteful number, since it uses less digits than its factorization.

9893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 9893136 is about 3145.3355941775. The cubic root of 9893136 is about 214.6732805767.

The spelling of 9893136 in words is "nine million, eight hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 457 492 528 656 902 914 984 1353 1371 1804 1828 1968 2706 2742 3608 3656 5027 5412 5484 7216 7312 10054 10824 10968 15081 18737 20108 21648 21936 30162 37474 40216 56211 60324 74948 80432 112422 120648 149896 206107 224844 241296 299792 412214 449688 618321 824428 899376 1236642 1648856 2473284 3297712 4946568 9893136