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995136 = 2637173
BaseRepresentation
bin11110010111101000000
31212120001220
43302331000
5223321021
633155040
711313162
oct3627500
91776056
10995136
1161a72a
123bba80
1328ac4c
141bc932
15149cc6
hexf2f40

995136 has 56 divisors (see below), whose sum is σ = 2706624. Its totient is φ = 322560.

The previous prime is 995119. The next prime is 995147. The reversal of 995136 is 631599.

995136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 995097 and 995106.

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 995136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13596 + ... + 13668.

2995136 is an apocalyptic number.

995136 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 995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353312).

995136 is an abundant number, since it is smaller than the sum of its proper divisors (1711488).

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

995136 is a wasteful number, since it uses less digits than its factorization.

995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 995136 is about 997.5650354739. The cubic root of 995136 is about 99.8376030818.

The spelling of 995136 in words is "nine hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 73 96 142 146 192 213 219 284 292 426 438 568 584 852 876 1136 1168 1704 1752 2272 2336 3408 3504 4544 4672 5183 6816 7008 10366 13632 14016 15549 20732 31098 41464 62196 82928 124392 165856 248784 331712 497568 995136