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2150016 = 27311509
BaseRepresentation
bin1000001100111010000000
311001020021020
420030322000
51022300031
6114025440
724163161
oct10147200
94036236
102150016
111239380
12878280
135a37cb
143dd768
152c7096
hex20ce80

2150016 has 64 divisors (see below), whose sum is σ = 6242400. Its totient is φ = 650240.

The previous prime is 2150011. The next prime is 2150023. The reversal of 2150016 is 6100512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2149977 and 2150004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3970 + ... + 4478.

22150016 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 2150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121200).

2150016 is an abundant number, since it is smaller than the sum of its proper divisors (4092384).

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

2150016 is a wasteful number, since it uses less digits than its factorization.

2150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2150016 is about 1466.2932858061. The cubic root of 2150016 is about 129.0666082310.

Adding to 2150016 its reverse (6100512), we get a palindrome (8250528).

The spelling of 2150016 in words is "two million, one hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 509 528 704 1018 1056 1408 1527 2036 2112 3054 4072 4224 5599 6108 8144 11198 12216 16288 16797 22396 24432 32576 33594 44792 48864 65152 67188 89584 97728 134376 179168 195456 268752 358336 537504 716672 1075008 2150016