Search a number
-
+
11239128 = 233361853
BaseRepresentation
bin101010110111…
…111011011000
3210011000012000
4222313323120
510334123003
61040521000
7164350065
oct52677330
923130160
1011239128
11638713a
123920160
132436894
1416c7c6c
15ec01a3
hexab7ed8

11239128 has 64 divisors (see below), whose sum is σ = 31768800. Its totient is φ = 3680640.

The previous prime is 11239121. The next prime is 11239139. The reversal of 11239128 is 82193211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239121) 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, 12750 + ... + 13602.

Almost surely, 211239128 is an apocalyptic number.

11239128 is a gapful number since it is divisible by the number (18) 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 11239128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884400).

11239128 is an abundant number, since it is smaller than the sum of its proper divisors (20529672).

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

11239128 is a wasteful number, since it uses less digits than its factorization.

11239128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11239128 is about 3352.4808724287. The cubic root of 11239128 is about 223.9980335712.

The spelling of 11239128 in words is "eleven million, two hundred thirty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 853 1098 1464 1647 1706 2196 2559 3294 3412 4392 5118 6588 6824 7677 10236 13176 15354 20472 23031 30708 46062 52033 61416 92124 104066 156099 184248 208132 312198 416264 468297 624396 936594 1248792 1404891 1873188 2809782 3746376 5619564 11239128