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2836128 = 25331953
BaseRepresentation
bin1010110100011010100000
312100002102210
422310122200
51211224003
6140442120
733051411
oct12643240
95302383
102836128
111667909
12b49340
13783ba9
1453b808
153b0503
hex2b46a0

2836128 has 48 divisors (see below), whose sum is σ = 7693056. Its totient is φ = 913920.

The previous prime is 2836117. The next prime is 2836129. The reversal of 2836128 is 8216382.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2836095 and 2836104.

It is not an unprimeable number, because it can be changed into a prime (2836129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (160272).

22836128 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 2836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846528).

2836128 is an abundant number, since it is smaller than the sum of its proper divisors (4856928).

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

2836128 is a wasteful number, since it uses less digits than its factorization.

2836128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2836128 is about 1684.0807581586. The cubic root of 2836128 is about 141.5495878510.

The spelling of 2836128 in words is "two million, eight hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 953 992 1488 1906 2859 2976 3812 5718 7624 11436 15248 22872 29543 30496 45744 59086 88629 91488 118172 177258 236344 354516 472688 709032 945376 1418064 2836128