Search a number
-
+
16405136 = 2411175483
BaseRepresentation
bin111110100101…
…001010010000
31010212110121122
4332211022100
513144431021
61343341412
7256304246
oct76451220
933773548
1016405136
119295470
1255b1868
1335250a7
142270796
151690bab
hexfa5290

16405136 has 40 divisors (see below), whose sum is σ = 36720864. Its totient is φ = 7016960.

The previous prime is 16405121. The next prime is 16405139. The reversal of 16405136 is 63150461.

It is not an unprimeable number, because it can be changed into a prime (16405139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251 + ... + 5733.

Almost surely, 216405136 is an apocalyptic number.

16405136 is a gapful number since it is divisible by the number (16) 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 16405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360432).

16405136 is an abundant number, since it is smaller than the sum of its proper divisors (20315728).

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

16405136 is a wasteful number, since it uses less digits than its factorization.

16405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 16405136 is about 4050.3254190250. The cubic root of 16405136 is about 254.0933378835.

Adding to 16405136 its reverse (63150461), we get a palindrome (79555597).

It can be divided in two parts, 1640 and 5136, that added together give a palindrome (6776).

The spelling of 16405136 in words is "sixteen million, four hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 5483 10966 21932 43864 60313 87728 93211 120626 186422 241252 372844 482504 745688 965008 1025321 1491376 2050642 4101284 8202568 16405136