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16113816 = 2338307
BaseRepresentation
bin111101011110…
…000010011000
31010022200000000
4331132002120
513111120231
61333213000
7253652025
oct75360230
933280000
1016113816
119106604
125491160
133452604
1421d654c
1516346e6
hexf5e098

16113816 has 72 divisors (see below), whose sum is σ = 45465420. Its totient is φ = 5353776.

The previous prime is 16113787. The next prime is 16113829. The reversal of 16113816 is 61831161.

16113816 is a `hidden beast` number, since 1 + 611 + 38 + 16 = 666.

16113816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16113816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52335 + ... + 52641.

Almost surely, 216113816 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 16113816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732710).

16113816 is an abundant number, since it is smaller than the sum of its proper divisors (29351604).

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

16113816 is an frugal number, since it uses more digits than its factorization.

16113816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 16113816 is about 4014.2017886499. The cubic root of 16113816 is about 252.5802953468.

Adding to 16113816 its reverse (61831161), we get a palindrome (77944977).

The spelling of 16113816 in words is "sixteen million, one hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 307 324 486 614 648 729 921 972 1228 1458 1842 1944 2187 2456 2763 2916 3684 4374 5526 5832 6561 7368 8289 8748 11052 13122 16578 17496 22104 24867 26244 33156 49734 52488 66312 74601 99468 149202 198936 223803 298404 447606 596808 671409 895212 1342818 1790424 2014227 2685636 4028454 5371272 8056908 16113816