Search a number
-
+
11056220 = 2257151523
BaseRepresentation
bin101010001011…
…010001011100
3202210201021122
4222023101130
510312244340
61032550112
7162655610
oct52132134
922721248
1011056220
11627177a
123852338
1323a1556
14167b340
15e85db5
hexa8b45c

11056220 has 48 divisors (see below), whose sum is σ = 26761728. Its totient is φ = 3758400.

The previous prime is 11056217. The next prime is 11056237. The reversal of 11056220 is 2265011.

It is a super-3 number, since 3×110562203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20879 + ... + 21401.

It is an arithmetic number, because the mean of its divisors is an integer number (557536).

Almost surely, 211056220 is an apocalyptic number.

11056220 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 11056220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380864).

11056220 is an abundant number, since it is smaller than the sum of its proper divisors (15705508).

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

11056220 is a wasteful number, since it uses less digits than its factorization.

11056220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11056220 is about 3325.0894724804. The cubic root of 11056220 is about 222.7762507361.

The spelling of 11056220 in words is "eleven million, fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 523 604 755 1046 1057 1510 2092 2114 2615 3020 3661 4228 5230 5285 7322 10460 10570 14644 18305 21140 36610 73220 78973 157946 315892 394865 552811 789730 1105622 1579460 2211244 2764055 5528110 11056220