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3986676 = 2232374173
BaseRepresentation
bin1111001101010011110100
321111112200200
433031103310
52010033201
6221240500
745612651
oct17152364
97445620
103986676
112283281
121403130
13a977a5
1475ac28
1553b386
hex3cd4f4

3986676 has 72 divisors (see below), whose sum is σ = 10747464. Its totient is φ = 1244160.

The previous prime is 3986669. The next prime is 3986677. The reversal of 3986676 is 6766893.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 3459600 = 726^2 + 1860^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986677) 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 23 ways as a sum of consecutive naturals, for example, 54576 + ... + 54648.

Almost surely, 23986676 is an apocalyptic number.

3986676 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 3986676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373732).

3986676 is an abundant number, since it is smaller than the sum of its proper divisors (6760788).

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

3986676 is a wasteful number, since it uses less digits than its factorization.

3986676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3986676 is about 1996.6662214802. Note that the first 3 decimals coincide. The cubic root of 3986676 is about 158.5636547026.

The spelling of 3986676 in words is "three million, nine hundred eighty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 73 74 82 111 123 146 148 164 219 222 246 292 333 369 438 444 492 657 666 738 876 1314 1332 1476 1517 2628 2701 2993 3034 4551 5402 5986 6068 8103 8979 9102 10804 11972 13653 16206 17958 18204 24309 26937 27306 32412 35916 48618 53874 54612 97236 107748 110741 221482 332223 442964 664446 996669 1328892 1993338 3986676