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2108808 = 233313751
BaseRepresentation
bin1000000010110110001000
310222010202000
420002312020
51014440213
6113111000
723632062
oct10026610
93863660
102108808
111210419
12858460
1358ab20
143cc732
152b9c73
hex202d88

2108808 has 64 divisors (see below), whose sum is σ = 6316800. Its totient is φ = 648000.

The previous prime is 2108807. The next prime is 2108809. The reversal of 2108808 is 8088012.

It is an interprime number because it is at equal distance from previous prime (2108807) and next prime (2108809).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2108807) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2433 + ... + 3183.

It is an arithmetic number, because the mean of its divisors is an integer number (98700).

22108808 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 2108808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158400).

2108808 is an abundant number, since it is smaller than the sum of its proper divisors (4207992).

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

2108808 is a wasteful number, since it uses less digits than its factorization.

2108808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2108808 is about 1452.1735433480. The cubic root of 2108808 is about 128.2367039326.

It can be divided in two parts, 2108 and 808, that added together give a square (2916 = 542).

The spelling of 2108808 in words is "two million, one hundred eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 751 936 1404 1502 2253 2808 3004 4506 6008 6759 9012 9763 13518 18024 19526 20277 27036 29289 39052 40554 54072 58578 78104 81108 87867 117156 162216 175734 234312 263601 351468 527202 702936 1054404 2108808