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994968 = 2332131063
BaseRepresentation
bin11110010111010011000
31212112211200
43302322120
5223314333
633154200
711312532
oct3627230
91775750
10994968
1161a597
123bb960
1328ab50
141bc852
15149c13
hexf2e98

994968 has 48 divisors (see below), whose sum is σ = 2904720. Its totient is φ = 305856.

The previous prime is 994963. The next prime is 994991. The reversal of 994968 is 869499.

It is a super-2 number, since 2×9949682 = 1979922642048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 994968.

It is not an unprimeable number, because it can be changed into a prime (994963) by changing a digit.

994968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 405 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

2994968 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 994968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360).

994968 is an abundant number, since it is smaller than the sum of its proper divisors (1909752).

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

994968 is a wasteful number, since it uses less digits than its factorization.

994968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 994968 is about 997.4808268834. The cubic root of 994968 is about 99.8319845328.

The spelling of 994968 in words is "nine hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1063 2126 3189 4252 6378 8504 9567 12756 13819 19134 25512 27638 38268 41457 55276 76536 82914 110552 124371 165828 248742 331656 497484 994968