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11162820 = 2235238089
BaseRepresentation
bin101010100101…
…010011000100
3210000010111210
4222211103010
510324202240
61035131420
7163611444
oct52452304
923003453
1011162820
116334879
1238a3b70
13240ac26
1416a8124
15ea7780
hexaa54c4

11162820 has 48 divisors (see below), whose sum is σ = 32618880. Its totient is φ = 2846976.

The previous prime is 11162819. The next prime is 11162849. The reversal of 11162820 is 2826111.

It is a super-3 number, since 3×111628203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (679560).

Almost surely, 211162820 is an apocalyptic number.

11162820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11162820 is an abundant number, since it is smaller than the sum of its proper divisors (21456060).

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

11162820 is a wasteful number, since it uses less digits than its factorization.

11162820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11162820 is about 3341.0806634980. The cubic root of 11162820 is about 223.4899374376.

Adding to 11162820 its reverse (2826111), we get a palindrome (13988931).

The spelling of 11162820 in words is "eleven million, one hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 8089 16178 24267 32356 40445 48534 80890 97068 121335 161780 186047 242670 372094 485340 558141 744188 930235 1116282 1860470 2232564 2790705 3720940 5581410 11162820