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2055360 = 26352141
BaseRepresentation
bin111110101110011000000
310212102102110
413311303000
51011232420
6112015320
723320206
oct7656300
93772373
102055360
11118424a
12831540
1356c6b8
143b7076
152a8ee0
hex1f5cc0

2055360 has 56 divisors (see below), whose sum is σ = 6528816. Its totient is φ = 547840.

The previous prime is 2055341. The next prime is 2055367. The reversal of 2055360 is 635502.

It is not an unprimeable number, because it can be changed into a prime (2055367) 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, 111 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (116586).

22055360 is an apocalyptic number.

2055360 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 2055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264408).

2055360 is an abundant number, since it is smaller than the sum of its proper divisors (4473456).

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

2055360 is a wasteful number, since it uses less digits than its factorization.

2055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2055360 is about 1433.6526776036. The cubic root of 2055360 is about 127.1440282204.

It can be divided in two parts, 2055 and 360, that added together give a triangular number (2415 = T69).

The spelling of 2055360 in words is "two million, fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2141 4282 6423 8564 10705 12846 17128 21410 25692 32115 34256 42820 51384 64230 68512 85640 102768 128460 137024 171280 205536 256920 342560 411072 513840 685120 1027680 2055360