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11364704 = 2513171607
BaseRepresentation
bin101011010110…
…100101100000
3210101101102222
4223112211200
510402132304
61043330212
7165412151
oct53264540
923341388
1011364704
11646251a
123980968
13247baa0
14171b928
15ee74be
hexad6960

11364704 has 48 divisors (see below), whose sum is σ = 25528608. Its totient is φ = 4933632.

The previous prime is 11364701. The next prime is 11364707. The reversal of 11364704 is 40746311.

It is an interprime number because it is at equal distance from previous prime (11364701) and next prime (11364707).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6269 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (531846).

Almost surely, 211364704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764304).

11364704 is an abundant number, since it is smaller than the sum of its proper divisors (14163904).

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

11364704 is a wasteful number, since it uses less digits than its factorization.

11364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 11364704 is about 3371.1576646606. The cubic root of 11364704 is about 224.8291971212.

The spelling of 11364704 in words is "eleven million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1607 1768 3214 3536 6428 7072 12856 20891 25712 27319 41782 51424 54638 83564 109276 167128 218552 334256 355147 437104 668512 710294 874208 1420588 2841176 5682352 11364704