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11330640 = 2432515737
BaseRepresentation
bin101011001110…
…010001010000
3210022122201100
4223032101100
510400040030
61042504400
7165210636
oct53162120
923278640
1011330640
116439972
123965100
132469429
14170d356
15edc360
hexace450

11330640 has 60 divisors (see below), whose sum is σ = 38054484. Its totient is φ = 3021312.

The previous prime is 11330639. The next prime is 11330681. The reversal of 11330640 is 4603311.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 3779136 = 2748^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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, 7149 + ... + 8588.

Almost surely, 211330640 is an apocalyptic number.

11330640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330640 is an abundant number, since it is smaller than the sum of its proper divisors (26723844).

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

11330640 is a wasteful number, since it uses less digits than its factorization.

11330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15756 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 11330640 is about 3366.1016027446. The cubic root of 11330640 is about 224.6043416871.

Adding to 11330640 its reverse (4603311), we get a palindrome (15933951).

The spelling of 11330640 in words is "eleven million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15737 31474 47211 62948 78685 94422 125896 141633 157370 188844 236055 251792 283266 314740 377688 472110 566532 629480 708165 755376 944220 1133064 1258960 1416330 1888440 2266128 2832660 3776880 5665320 11330640