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2106048 = 26371567
BaseRepresentation
bin1000000010001011000000
310221222221210
420002023000
51014343143
6113050120
723621040
oct10021300
93858853
102106048
11120933a
12856940
135897a9
143cb720
152b9033
hex2022c0

2106048 has 56 divisors (see below), whose sum is σ = 6372352. Its totient is φ = 601344.

The previous prime is 2106029. The next prime is 2106059. The reversal of 2106048 is 8406012.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (113792).

22106048 is an apocalyptic number.

2106048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186176).

2106048 is an abundant number, since it is smaller than the sum of its proper divisors (4266304).

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

2106048 is a wasteful number, since it uses less digits than its factorization.

2106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2106048 is about 1451.2229325641. Note that the first 3 decimals coincide. The cubic root of 2106048 is about 128.1807342689.

The spelling of 2106048 in words is "two million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1567 3134 4701 6268 9402 10969 12536 18804 21938 25072 32907 37608 43876 50144 65814 75216 87752 100288 131628 150432 175504 263256 300864 351008 526512 702016 1053024 2106048