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2130048 = 2732432
BaseRepresentation
bin1000001000000010000000
311000012212200
420020002000
51021130143
6113353200
724051024
oct10100200
94005780
102130048
111225378
12868800
135976ab
143d6384
152c11d3
hex208080

2130048 has 72 divisors (see below), whose sum is σ = 6275295. Its totient is φ = 693504.

The previous prime is 2130047. The next prime is 2130061. The reversal of 2130048 is 8400312.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 1065024 = 1032^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2130048.

It is not an unprimeable number, because it can be changed into a prime (2130047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49515 + ... + 49557.

22130048 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 2130048

2130048 is an abundant number, since it is smaller than the sum of its proper divisors (4145247).

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

2130048 is an equidigital number, since it uses as much as digits as its factorization.

2130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2130048 is about 1459.4683963690. The cubic root of 2130048 is about 128.6658016115.

Multiplying 2130048 by its sum of digits (18), we get a square (38340864 = 61922).

2130048 divided by its sum of digits (18) gives a square (118336 = 3442).

The spelling of 2130048 in words is "two million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 1849 2064 2752 3096 3698 4128 5504 5547 6192 7396 8256 11094 12384 14792 16512 16641 22188 24768 29584 33282 44376 49536 59168 66564 88752 118336 133128 177504 236672 266256 355008 532512 710016 1065024 2130048