Search a number
-
+
2850560 = 28517131
BaseRepresentation
bin1010110111111100000000
312100211020022
422313330000
51212204220
6141033012
733141446
oct12677400
95324208
102850560
111677739
12b55768
1378a62b
14542b96
153b4925
hex2b7f00

2850560 has 72 divisors (see below), whose sum is σ = 7284816. Its totient is φ = 1064960.

The previous prime is 2850541. The next prime is 2850563. The reversal of 2850560 is 650582.

2850560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850563) 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, 21695 + ... + 21825.

It is an arithmetic number, because the mean of its divisors is an integer number (101178).

22850560 is an apocalyptic number.

2850560 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 2850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642408).

2850560 is an abundant number, since it is smaller than the sum of its proper divisors (4434256).

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

2850560 is a wasteful number, since it uses less digits than its factorization.

2850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2850560 is about 1688.3601511526. The cubic root of 2850560 is about 141.7892794687.

The spelling of 2850560 in words is "two million, eight hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 131 136 160 170 256 262 272 320 340 524 544 640 655 680 1048 1088 1280 1310 1360 2096 2176 2227 2620 2720 4192 4352 4454 5240 5440 8384 8908 10480 10880 11135 16768 17816 20960 21760 22270 33536 35632 41920 44540 71264 83840 89080 142528 167680 178160 285056 356320 570112 712640 1425280 2850560