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16041424 = 24733779
BaseRepresentation
bin111101001100…
…010111010000
31010011222200211
4331030113100
513101311144
61331453504
7253231000
oct75142720
933158624
1016041424
119067183
125457294
133428689
1421b8000
15161d034
hexf4c5d0

16041424 has 80 divisors (see below), whose sum is σ = 37696000. Its totient is φ = 6604416.

The previous prime is 16041407. The next prime is 16041427. The reversal of 16041424 is 42414061.

16041424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16041395 and 16041404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16041427) 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, 203017 + ... + 203095.

It is an arithmetic number, because the mean of its divisors is an integer number (471200).

Almost surely, 216041424 is an apocalyptic number.

16041424 is a gapful number since it is divisible by the number (14) 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 16041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848000).

16041424 is an abundant number, since it is smaller than the sum of its proper divisors (21654576).

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

16041424 is an equidigital number, since it uses as much as digits as its factorization.

16041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 16041424 is about 4005.1746528710. The cubic root of 16041424 is about 252.2014849516.

Adding to 16041424 its reverse (42414061), we get a palindrome (58455485).

The spelling of 16041424 in words is "sixteen million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 79 98 112 148 158 196 259 296 316 343 392 518 553 592 632 686 784 1036 1106 1264 1372 1813 2072 2212 2744 2923 3626 3871 4144 4424 5488 5846 7252 7742 8848 11692 12691 14504 15484 20461 23384 25382 27097 29008 30968 40922 46768 50764 54194 61936 81844 101528 108388 143227 163688 203056 216776 286454 327376 433552 572908 1002589 1145816 2005178 2291632 4010356 8020712 16041424