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995104 = 25112257
BaseRepresentation
bin11110010111100100000
31212120000201
43302330200
5223320404
633154544
711313115
oct3627440
91776021
10995104
1161a700
123bba54
1328ac26
141bc90c
15149ca4
hexf2f20

995104 has 36 divisors (see below), whose sum is σ = 2161782. Its totient is φ = 450560.

The previous prime is 995081. The next prime is 995117. The reversal of 995104 is 401599.

995104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 559504 + 435600 = 748^2 + 660^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3744 + ... + 4000.

2995104 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 995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080891).

995104 is an abundant number, since it is smaller than the sum of its proper divisors (1166678).

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

995104 is a wasteful number, since it uses less digits than its factorization.

995104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 995104 is about 997.5489962904. The cubic root of 995104 is about 99.8365329308.

Subtracting from 995104 its reverse (401599), we obtain a triangular number (593505 = T1089).

The spelling of 995104 in words is "nine hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 257 352 484 514 968 1028 1936 2056 2827 3872 4112 5654 8224 11308 22616 31097 45232 62194 90464 124388 248776 497552 995104