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16241412 = 22311413001
BaseRepresentation
bin111101111101…
…001100000100
31010120011000210
4331331030010
513124211122
61340035420
7255023025
oct75751404
933504023
1016241412
119193460
125532b70
133498705
14222ac4c
15165c40c
hexf7d304

16241412 has 48 divisors (see below), whose sum is σ = 42364224. Its totient is φ = 4800000.

The previous prime is 16241411. The next prime is 16241417. The reversal of 16241412 is 21414261.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (16241411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912 + ... + 6912.

It is an arithmetic number, because the mean of its divisors is an integer number (882588).

Almost surely, 216241412 is an apocalyptic number.

16241412 is a gapful number since it is divisible by the number (12) 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 16241412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182112).

16241412 is an abundant number, since it is smaller than the sum of its proper divisors (26122812).

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

16241412 is a wasteful number, since it uses less digits than its factorization.

16241412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3058 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 16241412 is about 4030.0635230726. The cubic root of 16241412 is about 253.2452225129.

Adding to 16241412 its reverse (21414261), we get a palindrome (37655673).

It can be divided in two parts, 16241 and 412, that added together give a triangular number (16653 = T182).

The spelling of 16241412 in words is "sixteen million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 3001 5412 6002 9003 12004 18006 33011 36012 66022 99033 123041 132044 198066 246082 369123 396132 492164 738246 1353451 1476492 2706902 4060353 5413804 8120706 16241412