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2123648 = 2747353
BaseRepresentation
bin1000000110011110000000
310222220002122
420012132000
51020424043
6113303412
724023252
oct10063600
93886078
102123648
11122058a
12864b68
135947c7
143d3cd2
152be368
hex206780

2123648 has 32 divisors (see below), whose sum is σ = 4332960. Its totient is φ = 1036288.

The previous prime is 2123617. The next prime is 2123663. The reversal of 2123648 is 8463212.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 5840 + ... + 6192.

It is an arithmetic number, because the mean of its divisors is an integer number (135405).

22123648 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 2123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166480).

2123648 is an abundant number, since it is smaller than the sum of its proper divisors (2209312).

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

2123648 is an equidigital number, since it uses as much as digits as its factorization.

2123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2123648 is about 1457.2741677529. The cubic root of 2123648 is about 128.5368080801.

The spelling of 2123648 in words is "two million, one hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 353 376 706 752 1412 1504 2824 3008 5648 6016 11296 16591 22592 33182 45184 66364 132728 265456 530912 1061824 2123648