Search a number
-
+
16064256 = 283131609
BaseRepresentation
bin111101010001…
…111100000000
31010020011000110
4331101330000
513103024011
61332151320
7253354365
oct75217400
933204013
1016064256
11908234a
125468540
133435ba0
1421c246c
151624ba6
hexf51f00

16064256 has 72 divisors (see below), whose sum is σ = 46071760. Its totient is φ = 4939776.

The previous prime is 16064249. The next prime is 16064263. The reversal of 16064256 is 65246061.

It is an interprime number because it is at equal distance from previous prime (16064249) and next prime (16064263).

It is a congruent number.

It is an unprimeable number.

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, 9180 + ... + 10788.

Almost surely, 216064256 is an apocalyptic number.

16064256 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 16064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23035880).

16064256 is an abundant number, since it is smaller than the sum of its proper divisors (30007504).

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

16064256 is a wasteful number, since it uses less digits than its factorization.

16064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 16064256 is about 4008.0239520242. The cubic root of 16064256 is about 252.3210822833.

The spelling of 16064256 in words is "sixteen million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1609 1664 2496 3218 3328 4827 4992 6436 9654 9984 12872 19308 20917 25744 38616 41834 51488 62751 77232 83668 102976 125502 154464 167336 205952 251004 308928 334672 411904 502008 617856 669344 1004016 1235712 1338688 2008032 2677376 4016064 5354752 8032128 16064256