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11058216 = 2331323267
BaseRepresentation
bin101010001011…
…110000101000
3202210211000120
4222023300220
510312330331
61033003240
7162664461
oct52136050
922724016
1011058216
116273224
123853520
1323a2430
14167bd68
15e86796
hexa8bc28

11058216 has 96 divisors (see below), whose sum is σ = 31587360. Its totient is φ = 3206016.

The previous prime is 11058199. The next prime is 11058217. The reversal of 11058216 is 61285011.

It is a super-3 number, since 3×110582163 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (11058217) 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, 165015 + ... + 165081.

It is an arithmetic number, because the mean of its divisors is an integer number (329035).

Almost surely, 211058216 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 11058216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793680).

11058216 is an abundant number, since it is smaller than the sum of its proper divisors (20529144).

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

11058216 is a wasteful number, since it uses less digits than its factorization.

11058216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11058216 is about 3325.3896012347. The cubic root of 11058216 is about 222.7896560000.

The spelling of 11058216 in words is "eleven million, fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 67 69 78 92 104 134 138 156 184 201 268 276 299 312 402 529 536 552 598 804 871 897 1058 1196 1541 1587 1608 1742 1794 2116 2392 2613 3082 3174 3484 3588 4232 4623 5226 6164 6348 6877 6968 7176 9246 10452 12328 12696 13754 18492 20033 20631 20904 27508 35443 36984 40066 41262 55016 60099 70886 80132 82524 106329 120198 141772 160264 165048 212658 240396 283544 425316 460759 480792 850632 921518 1382277 1843036 2764554 3686072 5529108 11058216