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11364138 = 23567349
BaseRepresentation
bin101011010110…
…011100101010
3210101100200000
4223112130222
510402123023
61043323430
7165410412
oct53263452
923340600
1011364138
116462055
123980576
13247b756
14171b642
15ee7243
hexad672a

11364138 has 48 divisors (see below), whose sum is σ = 25989600. Its totient is φ = 3720816.

The previous prime is 11364137. The next prime is 11364163. The reversal of 11364138 is 83146311.

11364138 is a `hidden beast` number, since 1 + 13 + 641 + 3 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11364137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32388 + ... + 32736.

It is an arithmetic number, because the mean of its divisors is an integer number (541450).

It is a vampire number, since it can be written as 31413618 (with its own digits).

Almost surely, 211364138 is an apocalyptic number.

11364138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994800).

11364138 is an abundant number, since it is smaller than the sum of its proper divisors (14625462).

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

11364138 is an equidigital number, since it uses as much as digits as its factorization.

11364138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11364138 is about 3371.0737161919. The cubic root of 11364138 is about 224.8254646457.

The spelling of 11364138 in words is "eleven million, three hundred sixty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 349 402 486 603 698 1047 1206 1809 2094 3141 3618 5427 6282 9423 10854 16281 18846 23383 28269 32562 46766 56538 70149 84807 140298 169614 210447 420894 631341 1262682 1894023 3788046 5682069 11364138