Search a number
-
+
16273264 = 2473143109
BaseRepresentation
bin111110000100…
…111101110000
31010121202201111
4332010331300
513131221024
61340443104
7255214630
oct76047560
933552644
1016273264
119205387
125549494
1334aa067
1422386c0
151666a94
hexf84f70

16273264 has 80 divisors (see below), whose sum is σ = 38410240. Its totient is φ = 6531840.

The previous prime is 16273261. The next prime is 16273273. The reversal of 16273264 is 46237261.

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

Its product of digits (12096) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16273261) 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, 149242 + ... + 149350.

It is an arithmetic number, because the mean of its divisors is an integer number (480128).

Almost surely, 216273264 is an apocalyptic number.

16273264 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 16273264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205120).

16273264 is an abundant number, since it is smaller than the sum of its proper divisors (22136976).

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

16273264 is a wasteful number, since it uses less digits than its factorization.

16273264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 16273264 is about 4034.0133861949. The cubic root of 16273264 is about 253.4106658340.

The spelling of 16273264 in words is "sixteen million, two hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 109 112 124 172 217 218 248 301 344 434 436 496 602 688 763 868 872 1204 1333 1526 1736 1744 2408 2666 3052 3379 3472 4687 4816 5332 6104 6758 9331 9374 10664 12208 13516 18662 18748 21328 23653 27032 32809 37324 37496 47306 54064 65618 74648 74992 94612 131236 145297 149296 189224 262472 290594 378448 524944 581188 1017079 1162376 2034158 2324752 4068316 8136632 16273264