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11328780 = 2235434391
BaseRepresentation
bin101011001101…
…110100001100
3210022120011110
4223031310030
510400010110
61042452020
7165202341
oct53156414
923276143
1011328780
116438531
123964010
132468628
14170c7c8
15edba20
hexacdd0c

11328780 has 48 divisors (see below), whose sum is σ = 32465664. Its totient is φ = 2950080.

The previous prime is 11328743. The next prime is 11328787. The reversal of 11328780 is 8782311.

It is a happy number.

11328780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11328787) 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, 385 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (676368).

Almost surely, 211328780 is an apocalyptic number.

11328780 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 11328780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232832).

11328780 is an abundant number, since it is smaller than the sum of its proper divisors (21136884).

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

11328780 is a wasteful number, since it uses less digits than its factorization.

11328780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11328780 is about 3365.8253074098. The cubic root of 11328780 is about 224.5920509151.

The spelling of 11328780 in words is "eleven million, three hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4391 8782 13173 17564 21955 26346 43910 52692 65865 87820 131730 188813 263460 377626 566439 755252 944065 1132878 1888130 2265756 2832195 3776260 5664390 11328780