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2054304 = 253271019
BaseRepresentation
bin111110101100010100000
310212100222100
413311202200
51011214204
6112010400
723314140
oct7654240
93770870
102054304
11118347a
12830a00
1356c085
143b6920
152a8a39
hex1f58a0

2054304 has 72 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 586368.

The previous prime is 2054257. The next prime is 2054317. The reversal of 2054304 is 4034502.

2054304 = T7 + T8 + ... + T230.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

22054304 is an apocalyptic number.

2054304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2054304 is an abundant number, since it is smaller than the sum of its proper divisors (4628736).

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

2054304 is a wasteful number, since it uses less digits than its factorization.

2054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2054304 is about 1433.2843402479. The cubic root of 2054304 is about 127.1222498629.

Adding to 2054304 its reverse (4034502), we get a palindrome (6088806).

The spelling of 2054304 in words is "two million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1019 2016 2038 3057 4076 6114 7133 8152 9171 12228 14266 16304 18342 21399 24456 28532 32608 36684 42798 48912 57064 64197 73368 85596 97824 114128 128394 146736 171192 228256 256788 293472 342384 513576 684768 1027152 2054304