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3206112 = 253713367
BaseRepresentation
bin1100001110101111100000
320000212221220
430032233200
51310043422
6152415040
736152160
oct14165740
96025856
103206112
11189a888
1210a7480
13883410
145d65a0
15434e5c
hex30ebe0

3206112 has 96 divisors (see below), whose sum is σ = 10386432. Its totient is φ = 843264.

The previous prime is 3206101. The next prime is 3206143. The reversal of 3206112 is 2116023.

3206112 is digitally balanced in base 2 and base 5, 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 3206091 and 3206100.

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 15 ways as a sum of consecutive naturals, for example, 8553 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (108192).

Almost surely, 23206112 is an apocalyptic number.

3206112 is a gapful number since it is divisible by the number (32) 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 3206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193216).

3206112 is an abundant number, since it is smaller than the sum of its proper divisors (7180320).

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

3206112 is a wasteful number, since it uses less digits than its factorization.

3206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3206112 is about 1790.5619229728. The cubic root of 3206112 is about 147.4550202790.

The spelling of 3206112 in words is "three million, two hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 367 416 546 624 672 728 734 1092 1101 1248 1456 1468 2184 2202 2569 2912 2936 4368 4404 4771 5138 5872 7707 8736 8808 9542 10276 11744 14313 15414 17616 19084 20552 28626 30828 33397 35232 38168 41104 57252 61656 66794 76336 82208 100191 114504 123312 133588 152672 200382 229008 246624 267176 400764 458016 534352 801528 1068704 1603056 3206112