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11087076 = 22371113271
BaseRepresentation
bin101010010010…
…110011100100
3202212021121110
4222102303210
510314241301
61033345020
7163144560
oct52226344
922767543
1011087076
116292980
123868170
1323b2600
1416886a0
15e900d6
hexa92ce4

11087076 has 144 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 2620800.

The previous prime is 11087071. The next prime is 11087099. The reversal of 11087076 is 67078011.

11087076 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (11087071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156121 + ... + 156191.

It is an arithmetic number, because the mean of its divisors is an integer number (245952).

Almost surely, 211087076 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 11087076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544).

11087076 is an abundant number, since it is smaller than the sum of its proper divisors (24330012).

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

11087076 is a wasteful number, since it uses less digits than its factorization.

11087076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 11087076 is about 3329.7261148629. The cubic root of 11087076 is about 222.9833015843.

The spelling of 11087076 in words is "eleven million, eighty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 71 77 78 84 91 132 142 143 154 156 169 182 213 231 273 284 286 308 338 364 426 429 462 497 507 546 572 676 781 852 858 923 924 994 1001 1014 1092 1183 1491 1562 1716 1846 1859 1988 2002 2028 2343 2366 2769 2982 3003 3124 3549 3692 3718 4004 4686 4732 5467 5538 5577 5964 6006 6461 7098 7436 9372 10153 10934 11076 11154 11999 12012 12922 13013 14196 16401 19383 20306 21868 22308 23998 25844 26026 30459 32802 35997 38766 39039 40612 47996 52052 60918 65604 71071 71994 77532 78078 83993 121836 131989 142142 143988 156156 167986 213213 251979 263978 284284 335972 395967 426426 503958 527956 791934 852852 923923 1007916 1583868 1847846 2771769 3695692 5543538 11087076