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11285076 = 223111747107
BaseRepresentation
bin101011000011…
…001001010100
3210020100012210
4223003021110
510342110301
61041513420
7164631045
oct53031124
923210183
1011285076
116408710
123942870
13245177a
1416da8cc
15ecdad6
hexac3254

11285076 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 3120640.

The previous prime is 11285063. The next prime is 11285081. The reversal of 11285076 is 67058211.

11285076 is a modest number, since divided by 5076 gives 1128 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105415 + ... + 105521.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 211285076 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 11285076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

11285076 is an abundant number, since it is smaller than the sum of its proper divisors (20067756).

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

11285076 is a wasteful number, since it uses less digits than its factorization.

11285076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11285076 is about 3359.3267182577. The cubic root of 11285076 is about 224.3028694311.

The spelling of 11285076 in words is "eleven million, two hundred eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 107 132 141 187 188 204 214 282 321 374 428 517 561 564 642 748 799 1034 1122 1177 1284 1551 1598 1819 2068 2244 2354 2397 3102 3196 3531 3638 4708 4794 5029 5457 6204 7062 7276 8789 9588 10058 10914 14124 15087 17578 20009 20116 21828 26367 30174 35156 40018 52734 55319 60027 60348 80036 85493 105468 110638 120054 165957 170986 221276 240108 256479 331914 341972 512958 663828 940423 1025916 1880846 2821269 3761692 5642538 11285076