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11383128 = 23321953157
BaseRepresentation
bin101011011011…
…000101011000
3210102022201100
4223123011120
510403230003
61043551400
7165516651
oct53330530
923368640
1011383128
116475349
12398b560
1324872a3
141724528
15eecba3
hexadb158

11383128 has 96 divisors (see below), whose sum is σ = 33274800. Its totient is φ = 3504384.

The previous prime is 11383123. The next prime is 11383133. The reversal of 11383128 is 82138311.

11383128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11383123) and next prime (11383133).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11383121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72426 + ... + 72582.

Almost surely, 211383128 is an apocalyptic number.

11383128 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 11383128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637400).

11383128 is an abundant number, since it is smaller than the sum of its proper divisors (21891672).

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

11383128 is a wasteful number, since it uses less digits than its factorization.

11383128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11383128 is about 3373.8891505205. The cubic root of 11383128 is about 224.9506262033.

It can be divided in two parts, 11383 and 128, that added together give a palindrome (11511).

The spelling of 11383128 in words is "eleven million, three hundred eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 53 57 72 76 106 114 152 157 159 171 212 228 314 318 342 424 456 471 477 628 636 684 942 954 1007 1256 1272 1368 1413 1884 1908 2014 2826 2983 3021 3768 3816 4028 5652 5966 6042 8056 8321 8949 9063 11304 11932 12084 16642 17898 18126 23864 24168 24963 26847 33284 35796 36252 49926 53694 66568 71592 72504 74889 99852 107388 149778 158099 199704 214776 299556 316198 474297 599112 632396 948594 1264792 1422891 1897188 2845782 3794376 5691564 11383128