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995335680 = 29352941109
BaseRepresentation
bin111011010100111…
…001111000000000
32120100220021212110
4323110321320000
54014301220210
6242433255320
733444133203
oct7324717000
92510807773
10995335680
11470928479
12239404540
1312b296131
149629593a
155c5ae420
hex3b539e00

995335680 has 320 divisors, whose sum is σ = 3402907200. Its totient is φ = 247726080.

The previous prime is 995335643. The next prime is 995335681. The reversal of 995335680 is 86533599.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995335681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9131466 + ... + 9131574.

It is an arithmetic number, because the mean of its divisors is an integer number (10634085).

Almost surely, 2995335680 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 995335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

995335680 is an abundant number, since it is smaller than the sum of its proper divisors (2407571520).

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

995335680 is a wasteful number, since it uses less digits than its factorization.

995335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 995335680 is about 31548.9410281867. The cubic root of 995335680 is about 998.4428030630.

The spelling of 995335680 in words is "nine hundred ninety-five million, three hundred thirty-five thousand, six hundred eighty".