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11363328 = 21034137
BaseRepresentation
bin101011010110…
…010000000000
3210101022120000
4223112100000
510402111303
61043320000
7165405144
oct53262000
923338500
1011363328
116461489
123980000
13247b282
14171b224
15ee6da3
hexad6400

11363328 has 110 divisors (see below), whose sum is σ = 34180806. Its totient is φ = 3760128.

The previous prime is 11363321. The next prime is 11363351. The reversal of 11363328 is 82336311.

It is a happy number.

11363328 is a `hidden beast` number, since 1 + 1 + 3 + 633 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 1327104 = 3168^2 + 1152^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82876 + ... + 83012.

Almost surely, 211363328 is an apocalyptic number.

11363328 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 11363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090403).

11363328 is an abundant number, since it is smaller than the sum of its proper divisors (22817478).

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

11363328 is an equidigital number, since it uses as much as digits as its factorization.

11363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11363328 is about 3370.9535742873. The cubic root of 11363328 is about 224.8201229016.

Adding to 11363328 its reverse (82336311), we get a palindrome (93699639).

The spelling of 11363328 in words is "eleven million, three hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 256 274 288 324 384 411 432 512 548 576 648 768 822 864 1024 1096 1152 1233 1296 1536 1644 1728 2192 2304 2466 2592 3072 3288 3456 3699 4384 4608 4932 5184 6576 6912 7398 8768 9216 9864 10368 11097 13152 13824 14796 17536 19728 20736 22194 26304 27648 29592 35072 39456 41472 44388 52608 59184 70144 78912 82944 88776 105216 118368 140288 157824 177552 210432 236736 315648 355104 420864 473472 631296 710208 946944 1262592 1420416 1893888 2840832 3787776 5681664 11363328