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11131848 = 23327131699
BaseRepresentation
bin101010011101…
…101111001000
3202221120000200
4222131233020
510322204343
61034332200
7163422240
oct52355710
922846020
1011131848
116313582
12388a060
1323c9ac0
14169ab20
15e9d4d3
hexa9dbc8

11131848 has 96 divisors (see below), whose sum is σ = 37128000. Its totient is φ = 2934144.

The previous prime is 11131819. The next prime is 11131859. The reversal of 11131848 is 84813111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5703 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (386750).

Almost surely, 211131848 is an apocalyptic number.

11131848 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 11131848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564000).

11131848 is an abundant number, since it is smaller than the sum of its proper divisors (25996152).

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

11131848 is a wasteful number, since it uses less digits than its factorization.

11131848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1724 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 11131848 is about 3336.4424167068. The cubic root of 11131848 is about 223.2830499900.

Adding to 11131848 its reverse (84813111), we get a palindrome (95944959).

The spelling of 11131848 in words is "eleven million, one hundred thirty-one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1699 2184 3276 3398 5097 6552 6796 10194 11893 13592 15291 20388 22087 23786 30582 35679 40776 44174 47572 61164 66261 71358 88348 95144 107037 122328 132522 142716 154609 176696 198783 214074 265044 285432 309218 397566 428148 463827 530088 618436 795132 856296 927654 1236872 1391481 1590264 1855308 2782962 3710616 5565924 11131848