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2108320 = 25513177
BaseRepresentation
bin1000000010101110100000
310222010001221
420002232200
51014431240
6113104424
723630464
oct10025640
93863057
102108320
111210015
12858114
1358a836
143cc4a4
152b9a4a
hex202ba0

2108320 has 24 divisors (see below), whose sum is σ = 4981284. Its totient is φ = 843264.

The previous prime is 2108317. The next prime is 2108339. The reversal of 2108320 is 238012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 16 = 1452^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2108294 and 2108303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6429 + ... + 6748.

22108320 is an apocalyptic number.

2108320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2108320 is an abundant number, since it is smaller than the sum of its proper divisors (2872964).

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

2108320 is a wasteful number, since it uses less digits than its factorization.

2108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2108320 is about 1452.0055096314. The cubic root of 2108320 is about 128.2268114026.

Subtracting from 2108320 its sum of digits (16), we obtain a square (2108304 = 14522).

The spelling of 2108320 in words is "two million, one hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13177 26354 52708 65885 105416 131770 210832 263540 421664 527080 1054160 2108320