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996160 = 26511283
BaseRepresentation
bin11110011001101000000
31212121110211
43303031000
5223334120
633203504
711316154
oct3631500
91777424
10996160
11620480
12400594
1328b559
141bd064
1514a25a
hexf3340

996160 has 56 divisors (see below), whose sum is σ = 2596896. Its totient is φ = 360960.

The previous prime is 996157. The next prime is 996161. The reversal of 996160 is 61699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996161) 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, 3379 + ... + 3661.

2996160 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 996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298448).

996160 is an abundant number, since it is smaller than the sum of its proper divisors (1600736).

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

996160 is a wasteful number, since it uses less digits than its factorization.

996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 996160 is about 998.0781532525. The cubic root of 996160 is about 99.8718358096.

It can be divided in two parts, 996 and 160, that added together give a square (1156 = 342).

The spelling of 996160 in words is "nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 283 320 352 440 566 704 880 1132 1415 1760 2264 2830 3113 3520 4528 5660 6226 9056 11320 12452 15565 18112 22640 24904 31130 45280 49808 62260 90560 99616 124520 199232 249040 498080 996160