[go: up one dir, main page]

Search a number
-
+
11055200 = 2552131063
BaseRepresentation
bin101010001011…
…000001100000
3202210122212212
4222023001200
510312231300
61032541252
7162652622
oct52130140
922718785
1011055200
116270a32
123851828
1323a0c50
14167ac12
15e85935
hexa8b060

11055200 has 72 divisors (see below), whose sum is σ = 29091888. Its totient is φ = 4078080.

The previous prime is 11055173. The next prime is 11055211. The reversal of 11055200 is 255011.

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, 9869 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (404054).

Almost surely, 211055200 is an apocalyptic number.

11055200 is a gapful number since it is divisible by the number (10) 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 11055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545944).

11055200 is an abundant number, since it is smaller than the sum of its proper divisors (18036688).

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

11055200 is a wasteful number, since it uses less digits than its factorization.

11055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 11055200 is about 3324.9360896113. The cubic root of 11055200 is about 222.7693997278.

The spelling of 11055200 in words is "eleven million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1063 1300 2080 2126 2600 4252 5200 5315 8504 10400 10630 13819 17008 21260 26575 27638 34016 42520 53150 55276 69095 85040 106300 110552 138190 170080 212600 221104 276380 345475 425200 442208 552760 690950 850400 1105520 1381900 2211040 2763800 5527600 11055200