[go: up one dir, main page]

Search a number
-
+
27800000 = 2655139
BaseRepresentation
bin110101000001…
…1000111000000
31221022101102122
41222003013000
524104100000
62431503412
7455203364
oct152030700
957271378
1027800000
1114768608
129387b68
1359b4807
1439992a4
152692085
hex1a831c0

27800000 has 84 divisors (see below), whose sum is σ = 69448680. Its totient is φ = 11040000.

The previous prime is 27799999. The next prime is 27800051. The reversal of 27800000 is 872.

It is a congruent number.

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, 199931 + ... + 200069.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 227800000 is an apocalyptic number.

27800000 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 27800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724340).

27800000 is an abundant number, since it is smaller than the sum of its proper divisors (41648680).

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

27800000 is an frugal number, since it uses more digits than its factorization.

27800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 27800000 is about 5272.5705305856. The cubic root of 27800000 is about 302.9341715272.

Adding to 27800000 its reverse (872), we get a palindrome (27800872).

The spelling of 27800000 in words is "twenty-seven million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 139 160 200 250 278 320 400 500 556 625 695 800 1000 1112 1250 1390 1600 2000 2224 2500 2780 3125 3475 4000 4448 5000 5560 6250 6950 8000 8896 10000 11120 12500 13900 17375 20000 22240 25000 27800 34750 40000 44480 50000 55600 69500 86875 100000 111200 139000 173750 200000 222400 278000 347500 434375 556000 695000 868750 1112000 1390000 1737500 2780000 3475000 5560000 6950000 13900000 27800000