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996804 = 223227689
BaseRepresentation
bin11110011010111000100
31212122100200
43303113010
5223344204
633210500
711321064
oct3632704
91778320
10996804
11620a06
12400a30
1328b933
141bd3a4
1514a539
hexf35c4

996804 has 18 divisors (see below), whose sum is σ = 2519790. Its totient is φ = 332256.

The previous prime is 996803. The next prime is 996811. The reversal of 996804 is 408699.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 360000 = 798^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27689 = 996804 / (9 + 9 + 6 + 8 + 0 + 4).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996804.

It is not an unprimeable number, because it can be changed into a prime (996803) 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 5 ways as a sum of consecutive naturals, for example, 13809 + ... + 13880.

2996804 is an apocalyptic number.

It is an amenable number.

996804 is an abundant number, since it is smaller than the sum of its proper divisors (1522986).

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

996804 is a wasteful number, since it uses less digits than its factorization.

996804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27699 (or 27694 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 996804 is about 998.4007211536. The cubic root of 996804 is about 99.8933529712.

It can be divided in two parts, 99 and 6804, that added together give a triangular number (6903 = T117).

The spelling of 996804 in words is "nine hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 27689 55378 83067 110756 166134 249201 332268 498402 996804