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11128704 = 27373397
BaseRepresentation
bin101010011100…
…111110000000
3202221101201020
4222130332000
510322104304
61034305440
7163410126
oct52347600
922841636
1011128704
116311184
123888280
1323c8542
141699916
15e9c5d9
hexa9cf80

11128704 has 64 divisors (see below), whose sum is σ = 30041040. Its totient is φ = 3649536.

The previous prime is 11128697. The next prime is 11128709. The reversal of 11128704 is 40782111.

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 not an unprimeable number, because it can be changed into a prime (11128709) 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, 27834 + ... + 28230.

Almost surely, 211128704 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 11128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020520).

11128704 is an abundant number, since it is smaller than the sum of its proper divisors (18912336).

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

11128704 is an equidigital number, since it uses as much as digits as its factorization.

11128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11128704 is about 3335.9712228975. The cubic root of 11128704 is about 223.2620271850.

The spelling of 11128704 in words is "eleven million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 397 438 584 794 876 1168 1191 1588 1752 2336 2382 3176 3504 4672 4764 6352 7008 9344 9528 12704 14016 19056 25408 28032 28981 38112 50816 57962 76224 86943 115924 152448 173886 231848 347772 463696 695544 927392 1391088 1854784 2782176 3709568 5564352 11128704