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2085888 = 2103797
BaseRepresentation
bin111111101010000000000
310220222022010
413331100000
51013222023
6112412520
723505210
oct7752000
93828263
102085888
1111a5182
12847140
1358056c
143c4240
152b3093
hex1fd400

2085888 has 88 divisors (see below), whose sum is σ = 6419392. Its totient is φ = 589824.

The previous prime is 2085869. The next prime is 2085899. The reversal of 2085888 is 8885802.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21456 + ... + 21552.

22085888 is an apocalyptic number.

2085888 is a gapful number since it is divisible by the number (28) 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 2085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209696).

2085888 is an abundant number, since it is smaller than the sum of its proper divisors (4333504).

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

2085888 is an equidigital number, since it uses as much as digits as its factorization.

2085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 2085888 is about 1444.2603643388. The cubic root of 2085888 is about 127.7704218128.

The spelling of 2085888 in words is "two million, eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 512 582 672 679 768 776 896 1024 1164 1344 1358 1536 1552 1792 2037 2328 2688 2716 3072 3104 3584 4074 4656 5376 5432 6208 7168 8148 9312 10752 10864 12416 16296 18624 21504 21728 24832 32592 37248 43456 49664 65184 74496 86912 99328 130368 148992 173824 260736 297984 347648 521472 695296 1042944 2085888