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11075220 = 22325134733
BaseRepresentation
bin101010001111…
…111010010100
3202211200100100
4222033322110
510313401340
61033214100
7163065162
oct52177224
922750310
1011075220
116284a82
123861330
1323aa0b0
141684232
15e8b830
hexa8fe94

11075220 has 72 divisors (see below), whose sum is σ = 36186696. Its totient is φ = 2725632.

The previous prime is 11075203. The next prime is 11075227. The reversal of 11075220 is 2257011.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 11048976 = 162^2 + 3324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11075193 and 11075202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (502593).

Almost surely, 211075220 is an apocalyptic number.

11075220 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 11075220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093348).

11075220 is an abundant number, since it is smaller than the sum of its proper divisors (25111476).

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

11075220 is a wasteful number, since it uses less digits than its factorization.

11075220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11075220 is about 3327.9453120507. The cubic root of 11075220 is about 222.9037906015.

The spelling of 11075220 in words is "eleven million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4733 9466 14199 18932 23665 28398 42597 47330 56796 61529 70995 85194 94660 123058 141990 170388 184587 212985 246116 283980 307645 369174 425970 553761 615290 738348 851940 922935 1107522 1230580 1845870 2215044 2768805 3691740 5537610 11075220