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11810988 = 2233717919
BaseRepresentation
bin101101000011…
…100010101100
3211020001122000
4231003202230
511010422423
61101052300
7202251240
oct55034254
924201560
1011810988
116737852
123b57090
1325a6c67
1417d6420
151084843
hexb438ac

11810988 has 96 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 3172608.

The previous prime is 11810987. The next prime is 11810999. The reversal of 11810988 is 88901811.

It is a super-2 number, since 2×118109882 = 278998875072288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11810987) 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 31 ways as a sum of consecutive naturals, for example, 12393 + ... + 13311.

It is an arithmetic number, because the mean of its divisors is an integer number (386400).

Almost surely, 211810988 is an apocalyptic number.

11810988 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 11810988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

11810988 is an abundant number, since it is smaller than the sum of its proper divisors (25283412).

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

11810988 is a wasteful number, since it uses less digits than its factorization.

11810988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11810988 is about 3436.7118005442. The cubic root of 11810988 is about 227.7344553913.

The spelling of 11810988 in words is "eleven million, eight hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 919 1071 1428 1836 1838 2142 2757 3213 3676 4284 5514 6426 6433 8271 11028 12852 12866 15623 16542 19299 24813 25732 31246 33084 38598 46869 49626 57897 62492 77196 93738 99252 109361 115794 140607 173691 187476 218722 231588 281214 328083 347382 421821 437444 562428 656166 694764 843642 984249 1312332 1687284 1968498 2952747 3936996 5905494 11810988