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11055528 = 233511247
BaseRepresentation
bin101010001011…
…000110101000
3202210200100000
4222023012220
510312234103
61032543000
7162653601
oct52130650
922720300
1011055528
116271200
123851a60
1323a1143
14167ada8
15e85aa3
hexa8b1a8

11055528 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 3278880.

The previous prime is 11055523. The next prime is 11055529. The reversal of 11055528 is 82555011.

11055528 is a `hidden beast` number, since 1 + 105 + 552 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11055523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235201 + ... + 235247.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 211055528 is an apocalyptic number.

11055528 is a gapful number since it is divisible by the number (18) 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 11055528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

11055528 is an abundant number, since it is smaller than the sum of its proper divisors (23801112).

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

11055528 is a wasteful number, since it uses less digits than its factorization.

11055528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 11055528 is about 3324.9854135018. The cubic root of 11055528 is about 222.7716028431.

The spelling of 11055528 in words is "eleven million, fifty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 81 88 94 99 108 121 132 141 162 188 198 216 242 243 264 282 297 324 363 376 396 423 484 486 517 564 594 648 726 792 846 891 968 972 1034 1089 1128 1188 1269 1452 1551 1692 1782 1944 2068 2178 2376 2538 2673 2904 3102 3267 3384 3564 3807 4136 4356 4653 5076 5346 5687 6204 6534 7128 7614 8712 9306 9801 10152 10692 11374 11421 12408 13068 13959 15228 17061 18612 19602 21384 22748 22842 26136 27918 29403 30456 34122 37224 39204 41877 45496 45684 51183 55836 58806 68244 78408 83754 91368 102366 111672 117612 125631 136488 153549 167508 204732 235224 251262 307098 335016 409464 460647 502524 614196 921294 1005048 1228392 1381941 1842588 2763882 3685176 5527764 11055528