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2065056 = 25372439
BaseRepresentation
bin111111000001010100000
310212220201120
413320022200
51012040211
6112132240
723360400
oct7701240
93786646
102065056
111190564
12837080
13573c36
143ba800
152abd06
hex1f82a0

2065056 has 72 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 588672.

The previous prime is 2065043. The next prime is 2065073. The reversal of 2065056 is 6505602.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4485 + ... + 4923.

It is an arithmetic number, because the mean of its divisors is an integer number (87780).

22065056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2065056 is an abundant number, since it is smaller than the sum of its proper divisors (4255104).

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

2065056 is a wasteful number, since it uses less digits than its factorization.

2065056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2065056 is about 1437.0302710799. The cubic root of 2065056 is about 127.3436453247.

It can be divided in two parts, 20650 and 56, that added together give a triangular number (20706 = T203).

The spelling of 2065056 in words is "two million, sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 439 588 672 784 878 1176 1317 1568 1756 2352 2634 3073 3512 4704 5268 6146 7024 9219 10536 12292 14048 18438 21072 21511 24584 36876 42144 43022 49168 64533 73752 86044 98336 129066 147504 172088 258132 295008 344176 516264 688352 1032528 2065056