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2054144 = 2111759
BaseRepresentation
bin111110101100000000000
310212100202102
413311200000
51011213034
6112005532
723313521
oct7654000
93770672
102054144
111183344
128308a8
1356bc91
143b6848
152a897e
hex1f5800

2054144 has 48 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 950272.

The previous prime is 2054131. The next prime is 2054149. The reversal of 2054144 is 4414502.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054149) 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, 34787 + ... + 34845.

22054144 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 2054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

2054144 is an abundant number, since it is smaller than the sum of its proper divisors (2368456).

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

2054144 is an equidigital number, since it uses as much as digits as its factorization.

2054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2054144 is about 1433.2285232998. The cubic root of 2054144 is about 127.1189494608.

Adding to 2054144 its reverse (4414502), we get a palindrome (6468646).

The spelling of 2054144 in words is "two million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 472 512 544 944 1003 1024 1088 1888 2006 2048 2176 3776 4012 4352 7552 8024 8704 15104 16048 17408 30208 32096 34816 60416 64192 120832 128384 256768 513536 1027072 2054144