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2054016 = 27321783
BaseRepresentation
bin111110101011110000000
310212100120200
413311132000
51011212031
6112005200
723313246
oct7653600
93770520
102054016
111183238
12830800
1356bbc3
143b6796
152a88e6
hex1f5780

2054016 has 48 divisors (see below), whose sum is σ = 5913960. Its totient is φ = 684288.

The previous prime is 2054011. The next prime is 2054021. The reversal of 2054016 is 6104502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2054011) and next prime (2054021).

It is a tau number, because it is divible by the number of its divisors (48).

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 2054016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261 + ... + 2043.

22054016 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 2054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956980).

2054016 is an abundant number, since it is smaller than the sum of its proper divisors (3859944).

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

2054016 is a wasteful number, since it uses less digits than its factorization.

2054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2054016 is about 1433.1838681760. The cubic root of 2054016 is about 127.1163090156.

Adding to 2054016 its reverse (6104502), we get a palindrome (8158518).

The spelling of 2054016 in words is "two million, fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1783 3566 5349 7132 10698 14264 16047 21396 28528 32094 42792 57056 64188 85584 114112 128376 171168 228224 256752 342336 513504 684672 1027008 2054016