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16109856 = 2532761131
BaseRepresentation
bin111101011101…
…000100100000
31010022110120100
4331131010200
513111003411
61333142400
7253634340
oct75350440
933273510
1016109856
119103634
12548aa00
133450879
1421d4d20
151633456
hexf5d120

16109856 has 144 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 4492800.

The previous prime is 16109839. The next prime is 16109869. The reversal of 16109856 is 65890161.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 16109856.

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 23 ways as a sum of consecutive naturals, for example, 122911 + ... + 123041.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 216109856 is an apocalyptic number.

16109856 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 16109856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

16109856 is an abundant number, since it is smaller than the sum of its proper divisors (37511712).

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

16109856 is a wasteful number, since it uses less digits than its factorization.

16109856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16109856 is about 4013.7085095956. The cubic root of 16109856 is about 252.5596029605.

The spelling of 16109856 in words is "sixteen million, one hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 131 144 168 183 224 244 252 262 288 336 366 393 427 488 504 524 549 672 732 786 854 917 976 1008 1048 1098 1179 1281 1464 1572 1708 1834 1952 2016 2096 2196 2358 2562 2751 2928 3144 3416 3668 3843 4192 4392 4716 5124 5502 5856 6288 6832 7336 7686 7991 8253 8784 9432 10248 11004 12576 13664 14672 15372 15982 16506 17568 18864 20496 22008 23973 29344 30744 31964 33012 37728 40992 44016 47946 55937 61488 63928 66024 71919 88032 95892 111874 122976 127856 132048 143838 167811 191784 223748 255712 264096 287676 335622 383568 447496 503433 575352 671244 767136 894992 1006866 1150704 1342488 1789984 2013732 2301408 2684976 4027464 5369952 8054928 16109856