Search a number
-
+
996096 = 2831297
BaseRepresentation
bin11110011001100000000
31212121101110
43303030000
5223333341
633203320
711316033
oct3631400
91777343
10996096
11620422
12400540
1328b50a
141bd01a
1514a216
hexf3300

996096 has 36 divisors (see below), whose sum is σ = 2653112. Its totient is φ = 331776.

The previous prime is 996067. The next prime is 996103. The reversal of 996096 is 690699.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996096.

It is an unprimeable number.

996096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120 + ... + 1416.

2996096 is an apocalyptic number.

996096 is a gapful number since it is divisible by the number (96) 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 996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326556).

996096 is an abundant number, since it is smaller than the sum of its proper divisors (1657016).

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

996096 is a wasteful number, since it uses less digits than its factorization.

996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 996096 is about 998.0460911200. The cubic root of 996096 is about 99.8696969516.

The spelling of 996096 in words is "nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1297 2594 3891 5188 7782 10376 15564 20752 31128 41504 62256 83008 124512 166016 249024 332032 498048 996096