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2122752 = 2103691
BaseRepresentation
bin1000000110010000000000
310222211212110
420012100000
51020412002
6113255320
724020532
oct10062000
93884773
102122752
11121a945
12864540
13594288
143d3852
152bde6c
hex206400

2122752 has 44 divisors (see below), whose sum is σ = 5666096. Its totient is φ = 706560.

The previous prime is 2122741. The next prime is 2122753. The reversal of 2122752 is 2572212.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2122753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2727 + ... + 3417.

22122752 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 2122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833048).

2122752 is an abundant number, since it is smaller than the sum of its proper divisors (3543344).

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

2122752 is an equidigital number, since it uses as much as digits as its factorization.

2122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 2122752 is about 1456.9667120425. The cubic root of 2122752 is about 128.5187283134.

Adding to 2122752 its reverse (2572212), we get a palindrome (4694964).

The spelling of 2122752 in words is "two million, one hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 691 768 1024 1382 1536 2073 2764 3072 4146 5528 8292 11056 16584 22112 33168 44224 66336 88448 132672 176896 265344 353792 530688 707584 1061376 2122752