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16056144 = 243413953
BaseRepresentation
bin111101001111…
…111101010000
31010012201220000
4331033331100
513102244034
61332050000
7253321626
oct75177520
933181800
1016056144
119077245
125463900
1334322a0
1421bd516
151622599
hexf4ff50

16056144 has 100 divisors (see below), whose sum is σ = 50098356. Its totient is φ = 4935168.

The previous prime is 16056137. The next prime is 16056149. The reversal of 16056144 is 44165061.

16056144 is a `hidden beast` number, since 1 + 60 + 561 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 11696400 = 2088^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16056149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16372 + ... + 17324.

Almost surely, 216056144 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 16056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25049178).

16056144 is an abundant number, since it is smaller than the sum of its proper divisors (34042212).

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

16056144 is a wasteful number, since it uses less digits than its factorization.

16056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16056144 is about 4007.0118542375. The cubic root of 16056144 is about 252.2786034357.

The spelling of 16056144 in words is "sixteen million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 953 1053 1296 1404 1872 1906 2106 2808 2859 3812 4212 5616 5718 7624 8424 8577 11436 12389 15248 16848 17154 22872 24778 25731 34308 37167 45744 49556 51462 68616 74334 77193 99112 102924 111501 137232 148668 154386 198224 205848 223002 297336 308772 334503 411696 446004 594672 617544 669006 892008 1003509 1235088 1338012 1784016 2007018 2676024 4014036 5352048 8028072 16056144