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11385396 = 22321128751
BaseRepresentation
bin101011011011…
…101000110100
3210102102211100
4223123220310
510403313041
61044010100
7165526401
oct53335064
923372740
1011385396
116477020
123990930
132488329
1417252a8
15eed6b6
hexadba34

11385396 has 36 divisors (see below), whose sum is σ = 31397184. Its totient is φ = 3450000.

The previous prime is 11385383. The next prime is 11385397. The reversal of 11385396 is 69358311.

It is a happy number.

11385396 is a `hidden beast` number, since 113 + 8 + 539 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11385396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385397) 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 11 ways as a sum of consecutive naturals, for example, 13980 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (872144).

Almost surely, 211385396 is an apocalyptic number.

It is an amenable number.

11385396 is an abundant number, since it is smaller than the sum of its proper divisors (20011788).

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

11385396 is a wasteful number, since it uses less digits than its factorization.

11385396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28772 (or 28767 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11385396 is about 3374.2252444080. The cubic root of 11385396 is about 224.9655651006.

It can be divided in two parts, 11385 and 396, that added together give a triangular number (11781 = T153).

The spelling of 11385396 in words is "eleven million, three hundred eighty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 28751 57502 86253 115004 172506 258759 316261 345012 517518 632522 948783 1035036 1265044 1897566 2846349 3795132 5692698 11385396