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2055120 = 24358563
BaseRepresentation
bin111110101101111010000
310212102002120
413311233100
51011230440
6112014240
723316414
oct7655720
93772076
102055120
111184051
12831380
1356c562
143b6d44
152a8dd0
hex1f5bd0

2055120 has 40 divisors (see below), whose sum is σ = 6371616. Its totient is φ = 547968.

The previous prime is 2055107. The next prime is 2055121. The reversal of 2055120 is 215502.

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

It is a super-3 number, since 3×20551203 = 26039510258333184000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2055120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055121) 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 7 ways as a sum of consecutive naturals, for example, 4042 + ... + 4521.

22055120 is an apocalyptic number.

2055120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2055120 is an abundant number, since it is smaller than the sum of its proper divisors (4316496).

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

2055120 is a wasteful number, since it uses less digits than its factorization.

2055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2055120 is about 1433.5689728785. The cubic root of 2055120 is about 127.1390792488.

The spelling of 2055120 in words is "two million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8563 17126 25689 34252 42815 51378 68504 85630 102756 128445 137008 171260 205512 256890 342520 411024 513780 685040 1027560 2055120