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11428704 = 253275669
BaseRepresentation
bin101011100110…
…001101100000
3210111122020100
4223212031200
510411204304
61044542400
7166066560
oct53461540
923448210
1011428704
1164a6611
1239b1a00
1324a1c61
141736da0
15100b439
hexae6360

11428704 has 72 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 3264768.

The previous prime is 11428699. The next prime is 11428717. The reversal of 11428704 is 40782411.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 819 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 211428704 is an apocalyptic number.

11428704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

11428704 is an abundant number, since it is smaller than the sum of its proper divisors (25721136).

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

11428704 is a wasteful number, since it uses less digits than its factorization.

11428704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11428704 is about 3380.6366264359. The cubic root of 11428704 is about 225.2504470504.

The spelling of 11428704 in words is "eleven million, four hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5669 11338 17007 22676 34014 39683 45352 51021 68028 79366 90704 102042 119049 136056 158732 181408 204084 238098 272112 317464 357147 408168 476196 544224 634928 714294 816336 952392 1269856 1428588 1632672 1904784 2857176 3809568 5714352 11428704