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2097108 = 2232134481
BaseRepresentation
bin111111111111111010100
310221112200200
413333333110
51014101413
6112540500
723553006
oct7777724
93845620
102097108
111202652
12851730
135856c0
143c8376
152b6573
hex1fffd4

2097108 has 36 divisors (see below), whose sum is σ = 5710068. Its totient is φ = 645120.

The previous prime is 2097097. The next prime is 2097131. The reversal of 2097108 is 8017902.

It can be written as a sum of positive squares in 2 ways, for example, as 956484 + 1140624 = 978^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (158613).

22097108 is an apocalyptic number.

It is an amenable number.

2097108 is an abundant number, since it is smaller than the sum of its proper divisors (3612960).

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

2097108 is a wasteful number, since it uses less digits than its factorization.

2097108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2097108 is about 1448.1394960431. The cubic root of 2097108 is about 127.9991048114. Note that the first 3 decimals are identical.

The spelling of 2097108 in words is "two million, ninety-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4481 8962 13443 17924 26886 40329 53772 58253 80658 116506 161316 174759 233012 349518 524277 699036 1048554 2097108