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11682468 = 2235717101
BaseRepresentation
bin101100100100…
…001010100100
3210222112100000
4230210022210
510442314333
61054221300
7201204450
oct54441244
923875300
1011682468
11665a236
123ab4830
132560605
1417a1660
15105b713
hexb242a4

11682468 has 144 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 3110400.

The previous prime is 11682467. The next prime is 11682469. The reversal of 11682468 is 86428611.

11682468 is a `hidden beast` number, since 116 + 82 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (11682467) and next prime (11682469).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18432) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (11682467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115618 + ... + 115718.

It is an arithmetic number, because the mean of its divisors is an integer number (259896).

It is a vampire number, since it can be written as 18186426 (with its own digits).

Almost surely, 211682468 is an apocalyptic number.

11682468 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 11682468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

11682468 is an abundant number, since it is smaller than the sum of its proper divisors (25742556).

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

11682468 is a wasteful number, since it uses less digits than its factorization.

11682468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11682468 is about 3417.9625509944. The cubic root of 11682468 is about 226.9054183653.

The spelling of 11682468 in words is "eleven million, six hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 101 102 108 119 126 153 162 189 202 204 238 243 252 303 306 324 357 378 404 459 476 486 567 606 612 707 714 756 909 918 972 1071 1134 1212 1377 1414 1428 1701 1717 1818 1836 2121 2142 2268 2727 2754 2828 3213 3402 3434 3636 4131 4242 4284 5151 5454 5508 6363 6426 6804 6868 8181 8262 8484 9639 10302 10908 12019 12726 12852 15453 16362 16524 19089 19278 20604 24038 24543 25452 28917 30906 32724 36057 38178 38556 46359 48076 49086 57267 57834 61812 72114 76356 92718 98172 108171 114534 115668 139077 144228 171801 185436 216342 229068 278154 324513 343602 417231 432684 556308 649026 687204 834462 973539 1298052 1668924 1947078 2920617 3894156 5841234 11682468