Search a number
-
+
11028840 = 2335731259
BaseRepresentation
bin101010000100…
…100101101000
3202202022201120
4222010211220
510310410330
61032215240
7162513024
oct52044550
922668646
1011028840
116253149
12383a520
132391c54
141671384
15e7cc10
hexa84968

11028840 has 64 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 2898432.

The previous prime is 11028827. The next prime is 11028851. The reversal of 11028840 is 4882011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11028840.

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, 8131 + ... + 9389.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 211028840 is an apocalyptic number.

11028840 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 11028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

11028840 is an abundant number, since it is smaller than the sum of its proper divisors (22537560).

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

11028840 is a wasteful number, since it uses less digits than its factorization.

11028840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11028840 is about 3320.9697378928. The cubic root of 11028840 is about 222.5922018242.

The spelling of 11028840 in words is "eleven million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1259 1460 1752 2190 2518 2920 3777 4380 5036 6295 7554 8760 10072 12590 15108 18885 25180 30216 37770 50360 75540 91907 151080 183814 275721 367628 459535 551442 735256 919070 1102884 1378605 1838140 2205768 2757210 3676280 5514420 11028840