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2081200 = 245211243
BaseRepresentation
bin111111100000110110000
310220201212111
413330012300
51013044300
6112335104
723455432
oct7740660
93821774
102081200
1111a1700
12844494
1357b3a4
143c2652
152b19ba
hex1fc1b0

2081200 has 90 divisors (see below), whose sum is σ = 5623772. Its totient is φ = 739200.

The previous prime is 2081171. The next prime is 2081237. The reversal of 2081200 is 21802.

2081200 is nontrivially palindromic in base 7.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 48379 + ... + 48421.

22081200 is an apocalyptic number.

2081200 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 2081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811886).

2081200 is an abundant number, since it is smaller than the sum of its proper divisors (3542572).

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

2081200 is a wasteful number, since it uses less digits than its factorization.

2081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2081200 is about 1442.6364753464. The cubic root of 2081200 is about 127.6746293514.

The spelling of 2081200 in words is "two million, eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 121 172 176 200 215 220 242 275 344 400 430 440 473 484 550 605 688 860 880 946 968 1075 1100 1210 1720 1892 1936 2150 2200 2365 2420 3025 3440 3784 4300 4400 4730 4840 5203 6050 7568 8600 9460 9680 10406 11825 12100 17200 18920 20812 23650 24200 26015 37840 41624 47300 48400 52030 83248 94600 104060 130075 189200 208120 260150 416240 520300 1040600 2081200