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11882136 = 2337107661
BaseRepresentation
bin101101010100…
…111010011000
3211100200020010
4231110322120
511020212021
61102401520
7202665540
oct55247230
924320203
1011882136
116786252
123b902a0
132600466
141814320
15109a976
hexb54e98

11882136 has 64 divisors (see below), whose sum is σ = 34318080. Its totient is φ = 3358080.

The previous prime is 11882119. The next prime is 11882149. The reversal of 11882136 is 63128811.

11882136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17646 + ... + 18306.

It is an arithmetic number, because the mean of its divisors is an integer number (536220).

Almost surely, 211882136 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 11882136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159040).

11882136 is an abundant number, since it is smaller than the sum of its proper divisors (22435944).

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

11882136 is a wasteful number, since it uses less digits than its factorization.

11882136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11882136 is about 3447.0474322237. The cubic root of 11882136 is about 228.1908220896.

The spelling of 11882136 in words is "eleven million, eight hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 661 749 856 1284 1322 1498 1983 2247 2568 2644 2996 3966 4494 4627 5288 5992 7932 8988 9254 13881 15864 17976 18508 27762 37016 55524 70727 111048 141454 212181 282908 424362 495089 565816 848724 990178 1485267 1697448 1980356 2970534 3960712 5941068 11882136