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2054480 = 24561421
BaseRepresentation
bin111110101100101010000
310212101012212
413311211100
51011220410
6112011252
723314511
oct7654520
93771185
102054480
11118361a
12830b28
1356c18c
143b6a08
152a8b05
hex1f5950

2054480 has 40 divisors (see below), whose sum is σ = 4866504. Its totient is φ = 806400.

The previous prime is 2054471. The next prime is 2054483. The reversal of 2054480 is 844502.

It can be written as a sum of positive squares in 4 ways, for example, as 226576 + 1827904 = 476^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054483) 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 7 ways as a sum of consecutive naturals, for example, 4670 + ... + 5090.

22054480 is an apocalyptic number.

2054480 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 2054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433252).

2054480 is an abundant number, since it is smaller than the sum of its proper divisors (2812024).

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

2054480 is a wasteful number, since it uses less digits than its factorization.

2054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2054480 is about 1433.3457363804. The cubic root of 2054480 is about 127.1258801074.

Adding to 2054480 its reverse (844502), we get a palindrome (2898982).

The spelling of 2054480 in words is "two million, fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 421 488 610 842 976 1220 1684 2105 2440 3368 4210 4880 6736 8420 16840 25681 33680 51362 102724 128405 205448 256810 410896 513620 1027240 2054480