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11382084 = 2232731247
BaseRepresentation
bin101011011010…
…110101000100
3210102021021200
4223122311010
510403211314
61043542500
7165513630
oct53326504
923367250
1011382084
11647458a
12398aa30
13248697c
141723dc0
15eec709
hexadad44

11382084 has 108 divisors (see below), whose sum is σ = 34699392. Its totient is φ = 3080160.

The previous prime is 11382071. The next prime is 11382089. The reversal of 11382084 is 48028311.

11382084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11382089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242149 + ... + 242195.

Almost surely, 211382084 is an apocalyptic number.

11382084 is a gapful number since it is divisible by the number (14) 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 11382084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349696).

11382084 is an abundant number, since it is smaller than the sum of its proper divisors (23317308).

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

11382084 is a wasteful number, since it uses less digits than its factorization.

11382084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11382084 is about 3373.7344293824. The cubic root of 11382084 is about 224.9437489011.

The spelling of 11382084 in words is "eleven million, three hundred eighty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 47 62 63 84 93 94 124 126 141 186 188 217 252 279 282 329 372 423 434 558 564 651 658 846 868 961 987 1116 1302 1316 1457 1692 1922 1953 1974 2604 2883 2914 2961 3844 3906 3948 4371 5766 5828 5922 6727 7812 8649 8742 10199 11532 11844 13113 13454 17298 17484 20181 20398 26226 26908 30597 34596 40362 40796 45167 52452 60543 61194 80724 90334 91791 121086 122388 135501 180668 183582 242172 271002 316169 367164 406503 542004 632338 813006 948507 1264676 1626012 1897014 2845521 3794028 5691042 11382084