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11182340 = 22513411049
BaseRepresentation
bin101010101010…
…000100000100
3210001010021202
4222222010010
510330313330
61035402032
7164022401
oct52520404
923033252
1011182340
116348504
1238b3318
132416a90
1416b12a8
15ead445
hexaaa104

11182340 has 48 divisors (see below), whose sum is σ = 25930800. Its totient is φ = 4024320.

The previous prime is 11182331. The next prime is 11182343. The reversal of 11182340 is 4328111.

It can be written as a sum of positive squares in 8 ways, for example, as 1044484 + 10137856 = 1022^2 + 3184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11182343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10136 + ... + 11184.

It is an arithmetic number, because the mean of its divisors is an integer number (540225).

Almost surely, 211182340 is an apocalyptic number.

11182340 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 11182340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965400).

11182340 is an abundant number, since it is smaller than the sum of its proper divisors (14748460).

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

11182340 is a wasteful number, since it uses less digits than its factorization.

11182340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11182340 is about 3344.0005980861. Note that the first 3 decimals coincide. The cubic root of 11182340 is about 223.6201310383.

The spelling of 11182340 in words is "eleven million, one hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1049 1066 2098 2132 2665 4196 5245 5330 10490 10660 13637 20980 27274 43009 54548 68185 86018 136370 172036 215045 272740 430090 559117 860180 1118234 2236468 2795585 5591170 11182340