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11126148 = 22311312719
BaseRepresentation
bin101010011100…
…010110000100
3202221021012120
4222130112010
510322014043
61034245540
7163366515
oct52342604
922837176
1011126148
11630a270
1238868b0
1323c7327
141698a0c
15e9b983
hexa9c584

11126148 has 48 divisors (see below), whose sum is σ = 29245440. Its totient is φ = 3261600.

The previous prime is 11126147. The next prime is 11126173. The reversal of 11126148 is 84162111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (609280).

Almost surely, 211126148 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 11126148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622720).

11126148 is an abundant number, since it is smaller than the sum of its proper divisors (18119292).

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

11126148 is a wasteful number, since it uses less digits than its factorization.

11126148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11126148 is about 3335.5881040680. The cubic root of 11126148 is about 223.2449332078.

Adding to 11126148 its reverse (84162111), we get a palindrome (95288259).

It can be divided in two parts, 1112 and 6148, that added together give a triangular number (7260 = T120).

The spelling of 11126148 in words is "eleven million, one hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2719 4092 5438 8157 10876 16314 29909 32628 59818 84289 89727 119636 168578 179454 252867 337156 358908 505734 927179 1011468 1854358 2781537 3708716 5563074 11126148