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11131840 = 26543809
BaseRepresentation
bin101010011101…
…101111000000
3202221120000101
4222131233000
510322204330
61034332144
7163422226
oct52355700
922846011
1011131840
116313575
12388a054
1323c9ab5
14169ab16
15e9d4ca
hexa9dbc0

11131840 has 56 divisors (see below), whose sum is σ = 27157680. Its totient is φ = 4343808.

The previous prime is 11131819. The next prime is 11131859. The reversal of 11131840 is 4813111.

11131840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13356 + ... + 14164.

Almost surely, 211131840 is an apocalyptic number.

11131840 is a gapful number since it is divisible by the number (10) 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 11131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578840).

11131840 is an abundant number, since it is smaller than the sum of its proper divisors (16025840).

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

11131840 is an equidigital number, since it uses as much as digits as its factorization.

11131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11131840 is about 3336.4412178248. The cubic root of 11131840 is about 223.2829965018.

Adding to 11131840 its reverse (4813111), we get a palindrome (15944951).

The spelling of 11131840 in words is "eleven million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 809 860 1376 1618 1720 2752 3236 3440 4045 6472 6880 8090 12944 13760 16180 25888 32360 34787 51776 64720 69574 129440 139148 173935 258880 278296 347870 556592 695740 1113184 1391480 2226368 2782960 5565920 11131840