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2134016 = 212521
BaseRepresentation
bin1000001001000000000000
311000102022122
420021000000
51021242031
6113423412
724065423
oct10110000
94012278
102134016
111228355
1286ab68
13599441
143d79ba
152c247b
hex209000

2134016 has 26 divisors (see below), whose sum is σ = 4275702. Its totient is φ = 1064960.

The previous prime is 2134007. The next prime is 2134019. The reversal of 2134016 is 6104312.

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 495616 = 1280^2 + 704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2133985 and 2134003.

It is not an unprimeable number, because it can be changed into a prime (2134019) 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 as a sum of consecutive naturals, namely, 3836 + ... + 4356.

22134016 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 2134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137851).

2134016 is an abundant number, since it is smaller than the sum of its proper divisors (2141686).

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

2134016 is an frugal number, since it uses more digits than its factorization.

2134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2134016 is about 1460.8271629457. The cubic root of 2134016 is about 128.7456478876.

Adding to 2134016 its reverse (6104312), we get a palindrome (8238328).

The spelling of 2134016 in words is "two million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 521 1024 1042 2048 2084 4096 4168 8336 16672 33344 66688 133376 266752 533504 1067008 2134016