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16081296 = 24371119229
BaseRepresentation
bin111101010110…
…000110010000
31010021000101120
4331112012100
513104100141
61332402240
7253455150
oct75260620
933230346
1016081296
119094130
125476380
13344087a
1421c8760
151629c66
hexf56190

16081296 has 160 divisors (see below), whose sum is σ = 54758400. Its totient is φ = 3939840.

The previous prime is 16081291. The next prime is 16081363. The reversal of 16081296 is 69218061.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (16081291) 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 31 ways as a sum of consecutive naturals, for example, 70110 + ... + 70338.

It is an arithmetic number, because the mean of its divisors is an integer number (342240).

Almost surely, 216081296 is an apocalyptic number.

16081296 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 16081296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27379200).

16081296 is an abundant number, since it is smaller than the sum of its proper divisors (38677104).

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

16081296 is a wasteful number, since it uses less digits than its factorization.

16081296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 16081296 is about 4010.1491244092. The cubic root of 16081296 is about 252.4102664510.

The spelling of 16081296 in words is "sixteen million, eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 229 231 264 266 304 308 336 399 418 456 458 462 528 532 616 627 687 798 836 912 916 924 1064 1232 1254 1374 1463 1596 1603 1672 1832 1848 2128 2508 2519 2748 2926 3192 3206 3344 3664 3696 4351 4389 4809 5016 5038 5496 5852 6384 6412 7557 8702 8778 9618 10032 10076 10992 11704 12824 13053 15114 17404 17556 17633 19236 20152 23408 25648 26106 30228 30457 34808 35112 35266 38472 40304 47861 52212 52899 60456 60914 69616 70224 70532 76944 91371 95722 104424 105798 120912 121828 141064 143583 182742 191444 208848 211596 243656 282128 287166 335027 365484 382888 423192 487312 574332 670054 730968 765776 846384 1005081 1148664 1340108 1461936 2010162 2297328 2680216 4020324 5360432 8040648 16081296