Search a number
-
+
11058912 = 2532194347
BaseRepresentation
bin101010001011…
…111011100000
3202210211222100
4222023323200
510312341122
61033010400
7162666504
oct52137340
922724870
1011058912
1162737a7
123853a00
1323a2847
14167c304
15e86aac
hexa8bee0

11058912 has 144 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3338496.

The previous prime is 11058911. The next prime is 11058917. The reversal of 11058912 is 21985011.

11058912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11058911) 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, 235273 + ... + 235319.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 211058912 is an apocalyptic number.

11058912 is a gapful number since it is divisible by the number (12) 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 11058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11058912 is an abundant number, since it is smaller than the sum of its proper divisors (23535648).

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

11058912 is a wasteful number, since it uses less digits than its factorization.

11058912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11058912 is about 3325.4942489801. The cubic root of 11058912 is about 222.7943300013.

The spelling of 11058912 in words is "eleven million, fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 47 48 57 72 76 86 94 96 114 129 141 144 152 171 172 188 228 258 282 288 304 342 344 376 387 423 456 516 564 608 684 688 752 774 817 846 893 912 1032 1128 1368 1376 1504 1548 1634 1692 1786 1824 2021 2064 2256 2451 2679 2736 3096 3268 3384 3572 4042 4128 4512 4902 5358 5472 6063 6192 6536 6768 7144 7353 8037 8084 9804 10716 12126 12384 13072 13536 14288 14706 16074 16168 18189 19608 21432 24252 26144 28576 29412 32148 32336 36378 38399 39216 42864 48504 58824 64296 64672 72756 76798 78432 85728 97008 115197 117648 128592 145512 153596 194016 230394 235296 257184 291024 307192 345591 460788 582048 614384 691182 921576 1228768 1382364 1843152 2764728 3686304 5529456 11058912