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11328940 = 2257194259
BaseRepresentation
bin101011001101…
…110110101100
3210022120101101
4223031312230
510400011230
61042452444
7165202660
oct53156654
923276341
1011328940
116438667
123964124
13246871c
14170c8a0
15edbaca
hexacddac

11328940 has 48 divisors (see below), whose sum is σ = 28627200. Its totient is φ = 3678912.

The previous prime is 11328931. The next prime is 11328983. The reversal of 11328940 is 4982311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11328899 and 11328908.

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, 531 + ... + 4789.

It is an arithmetic number, because the mean of its divisors is an integer number (596400).

Almost surely, 211328940 is an apocalyptic number.

11328940 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 11328940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313600).

11328940 is an abundant number, since it is smaller than the sum of its proper divisors (17298260).

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

11328940 is a wasteful number, since it uses less digits than its factorization.

11328940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11328940 is about 3365.8490756420. The cubic root of 11328940 is about 224.5931082387.

The spelling of 11328940 in words is "eleven million, three hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 4259 8518 17036 21295 29813 42590 59626 80921 85180 119252 149065 161842 298130 323684 404605 566447 596260 809210 1132894 1618420 2265788 2832235 5664470 11328940