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2101088 = 251147127
BaseRepresentation
bin1000000000111101100000
310221202011002
420000331200
51014213323
6113011132
723600423
oct10007540
93852132
102101088
111205640
12853aa8
13587462
143c99ba
152b7828
hex200f60

2101088 has 48 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 927360.

The previous prime is 2101067. The next prime is 2101091. The reversal of 2101088 is 8801012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 16481 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22101088 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 2101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

2101088 is an abundant number, since it is smaller than the sum of its proper divisors (2543776).

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

2101088 is a wasteful number, since it uses less digits than its factorization.

2101088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 2101088 is about 1449.5130216731. The cubic root of 2101088 is about 128.0800280795.

The spelling of 2101088 in words is "two million, one hundred one thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 127 176 188 254 352 376 508 517 752 1016 1034 1397 1504 2032 2068 2794 4064 4136 5588 5969 8272 11176 11938 16544 22352 23876 44704 47752 65659 95504 131318 191008 262636 525272 1050544 2101088