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11468016 = 2432731367
BaseRepresentation
bin101011101111…
…110011110000
3210120122011100
4223233303300
510413434031
61045444400
7166322310
oct53576360
923518140
1011468016
1165230aa
123a10700
1324b6b11
141747440
151017de6
hexaefcf0

11468016 has 120 divisors (see below), whose sum is σ = 37965824. Its totient is φ = 3162240.

The previous prime is 11468011. The next prime is 11468063. The reversal of 11468016 is 61086411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31065 + ... + 31431.

Almost surely, 211468016 is an apocalyptic number.

11468016 is a gapful number since it is divisible by the number (16) 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 11468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18982912).

11468016 is an abundant number, since it is smaller than the sum of its proper divisors (26497808).

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

11468016 is a wasteful number, since it uses less digits than its factorization.

11468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11468016 is about 3386.4459245646. The cubic root of 11468016 is about 225.5084206537.

The spelling of 11468016 in words is "eleven million, four hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 367 372 434 496 504 558 651 734 744 868 1008 1101 1116 1302 1468 1488 1736 1953 2202 2232 2569 2604 2936 3303 3472 3906 4404 4464 5138 5208 5872 6606 7707 7812 8808 10276 10416 11377 13212 15414 15624 17616 20552 22754 23121 26424 30828 31248 34131 41104 45508 46242 52848 61656 68262 79639 91016 92484 102393 123312 136524 159278 182032 184968 204786 238917 273048 318556 369936 409572 477834 546096 637112 716751 819144 955668 1274224 1433502 1638288 1911336 2867004 3822672 5734008 11468016