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11891424 = 253971277
BaseRepresentation
bin101101010111…
…001011100000
3211101010222010
4231113023200
511021011144
61102512520
7203034606
oct55271340
924333863
1011891424
116792226
123b95740
13260475c
141817876
15109d5b9
hexb572e0

11891424 has 48 divisors (see below), whose sum is σ = 31561488. Its totient is φ = 3919872.

The previous prime is 11891413. The next prime is 11891431. The reversal of 11891424 is 42419811.

11891424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11891391 and 11891400.

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, 8674 + ... + 9950.

It is an arithmetic number, because the mean of its divisors is an integer number (657531).

Almost surely, 211891424 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 11891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780744).

11891424 is an abundant number, since it is smaller than the sum of its proper divisors (19670064).

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

11891424 is a wasteful number, since it uses less digits than its factorization.

11891424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1379 counting only the distinct ones).

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

The square root of 11891424 is about 3448.3944089967. The cubic root of 11891424 is about 228.2502638251.

The spelling of 11891424 in words is "eleven million, eight hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1277 1552 2328 2554 3104 3831 4656 5108 7662 9312 10216 15324 20432 30648 40864 61296 122592 123869 247738 371607 495476 743214 990952 1486428 1981904 2972856 3963808 5945712 11891424