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11141888 = 2871613
BaseRepresentation
bin101010100000…
…001100000000
3202222001210112
4222200030000
510323020023
61034450452
7163463432
oct52401400
922861715
1011141888
11632007a
123893a28
132401544
1416a0652
15ea1478
hexaa0300

11141888 has 36 divisors (see below), whose sum is σ = 22590288. Its totient is φ = 5483520.

The previous prime is 11141881. The next prime is 11141891. The reversal of 11141888 is 88814111.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17870 + ... + 18482.

It is an arithmetic number, because the mean of its divisors is an integer number (627508).

Almost surely, 211141888 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 11141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11295144).

11141888 is an abundant number, since it is smaller than the sum of its proper divisors (11448400).

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

11141888 is an frugal number, since it uses more digits than its factorization.

11141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its digits is 2048, while the sum is 32.

The square root of 11141888 is about 3337.9466742295. The cubic root of 11141888 is about 223.3501573920.

Adding to 11141888 its reverse (88814111), we get a palindrome (99955999).

The spelling of 11141888 in words is "eleven million, one hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 613 1136 1226 2272 2452 4544 4904 9088 9808 18176 19616 39232 43523 78464 87046 156928 174092 348184 696368 1392736 2785472 5570944 11141888