Search a number
-
+
16608064 = 261131761
BaseRepresentation
bin111111010110…
…101101000000
31011020202222111
4333112231000
513222424224
61351545104
7261111004
oct77265500
934222874
1016608064
119413980
12568b194
133596575
1422c4704
1516d0d94
hexfd6b40

16608064 has 56 divisors (see below), whose sum is σ = 37161216. Its totient is φ = 7296000.

The previous prime is 16608041. The next prime is 16608073. The reversal of 16608064 is 46080661.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21444 + ... + 22204.

Almost surely, 216608064 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 16608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580608).

16608064 is an abundant number, since it is smaller than the sum of its proper divisors (20553152).

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

16608064 is a wasteful number, since it uses less digits than its factorization.

16608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 16608064 is about 4075.2992528157. The cubic root of 16608064 is about 255.1367407072.

The spelling of 16608064 in words is "sixteen million, six hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 761 992 1364 1522 1984 2728 3044 5456 6088 8371 10912 12176 16742 21824 23591 24352 33484 47182 48704 66968 94364 133936 188728 259501 267872 377456 519002 535744 754912 1038004 1509824 2076008 4152016 8304032 16608064