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3980196 = 22321119232
BaseRepresentation
bin1111001011101110100100
321111012210200
433023232210
52004331241
6221150500
745555033
oct17135644
97435720
103980196
112279420
1213bb430
13a9485c
1475871a
155394b6
hex3cbba4

3980196 has 108 divisors (see below), whose sum is σ = 12077520. Its totient is φ = 1092960.

The previous prime is 3980191. The next prime is 3980203. The reversal of 3980196 is 6910893.

3980196 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3980196.

It is not an unprimeable number, because it can be changed into a prime (3980191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173041 + ... + 173063.

Almost surely, 23980196 is an apocalyptic number.

3980196 is a gapful number since it is divisible by the number (36) 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 3980196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038760).

3980196 is an abundant number, since it is smaller than the sum of its proper divisors (8097324).

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

3980196 is a wasteful number, since it uses less digits than its factorization.

3980196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3980196 is about 1995.0428566825. The cubic root of 3980196 is about 158.4776975722.

Multiplying 3980196 by its sum of digits (36), we get a triangular number (143287056 = T16928).

The spelling of 3980196 in words is "three million, nine hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 276 342 396 414 418 437 506 529 627 684 759 828 836 874 1012 1058 1254 1311 1518 1587 1748 1881 2116 2277 2508 2622 3036 3174 3762 3933 4554 4761 4807 5244 5819 6348 7524 7866 9108 9522 9614 10051 11638 14421 15732 17457 19044 19228 20102 23276 28842 30153 34914 40204 43263 52371 57684 60306 69828 86526 90459 104742 110561 120612 173052 180918 209484 221122 331683 361836 442244 663366 995049 1326732 1990098 3980196