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2054000 = 24531379
BaseRepresentation
bin111110101011101110000
310212100120002
413311131300
51011212000
6112005132
723313224
oct7653560
93770502
102054000
111183223
128307a8
1356bbb0
143b6784
152a88d5
hex1f5770

2054000 has 80 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 748800.

The previous prime is 2053979. The next prime is 2054009. The reversal of 2054000 is 4502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25961 + ... + 26039.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22054000 is an apocalyptic number.

2054000 is a gapful number since it is divisible by the number (20) 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 2054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2054000 is an abundant number, since it is smaller than the sum of its proper divisors (3362320).

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

2054000 is a wasteful number, since it uses less digits than its factorization.

2054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2054000 is about 1433.1782861877. The cubic root of 2054000 is about 127.1159789523.

Adding to 2054000 its reverse (4502), we get a palindrome (2058502).

The spelling of 2054000 in words is "two million, fifty-four thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 125 130 158 200 208 250 260 316 325 395 400 500 520 632 650 790 1000 1027 1040 1264 1300 1580 1625 1975 2000 2054 2600 3160 3250 3950 4108 5135 5200 6320 6500 7900 8216 9875 10270 13000 15800 16432 19750 20540 25675 26000 31600 39500 41080 51350 79000 82160 102700 128375 158000 205400 256750 410800 513500 1027000 2054000