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11336064 = 27353557
BaseRepresentation
bin101011001111…
…100110000000
3210022221011020
4223033212000
510400223224
61042545440
7165232515
oct53174600
923287136
1011336064
116442a53
123968280
13246ba3c
14171130c
15eddc79
hexacf980

11336064 has 64 divisors (see below), whose sum is σ = 30734640. Its totient is φ = 3700736.

The previous prime is 11336053. The next prime is 11336081. The reversal of 11336064 is 46063311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 20074 + ... + 20630.

Almost surely, 211336064 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 11336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367320).

11336064 is an abundant number, since it is smaller than the sum of its proper divisors (19398576).

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

11336064 is an equidigital number, since it uses as much as digits as its factorization.

11336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 11336064 is about 3366.9071861279. The cubic root of 11336064 is about 224.6401754855.

Adding to 11336064 its reverse (46063311), we get a palindrome (57399375).

The spelling of 11336064 in words is "eleven million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 557 636 848 1114 1272 1671 1696 2228 2544 3342 3392 4456 5088 6684 6784 8912 10176 13368 17824 20352 26736 29521 35648 53472 59042 71296 88563 106944 118084 177126 213888 236168 354252 472336 708504 944672 1417008 1889344 2834016 3778688 5668032 11336064