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96936 = 2337577
BaseRepresentation
bin10111101010101000
311220222020
4113222220
511100221
62024440
7552420
oct275250
9156866
1096936
1166914
1248120
1335178
1427480
151dac6
hex17aa8

96936 has 32 divisors (see below), whose sum is σ = 277440. Its totient is φ = 27648.

The previous prime is 96931. The next prime is 96953. The reversal of 96936 is 63969.

It is a junction number, because it is equal to n+sod(n) for n = 96897 and 96906.

It is not an unprimeable number, because it can be changed into a prime (96931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (8670).

296936 is an apocalyptic number.

It is an amenable number.

96936 is an abundant number, since it is smaller than the sum of its proper divisors (180504).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138720).

96936 is a wasteful number, since it uses less digits than its factorization.

96936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 96936 is about 311.3454672867. The cubic root of 96936 is about 45.9369015147.

Adding to 96936 its sum of digits (33), we get a palindrome (96969).

Subtracting from 96936 its product of digits (8748), we obtain a palindrome (88188).

The spelling of 96936 in words is "ninety-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 577 1154 1731 2308 3462 4039 4616 6924 8078 12117 13848 16156 24234 32312 48468 96936