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6006036 = 2232347463
BaseRepresentation
bin10110111010010100010100
3102022010201210
4112322110110
53014143121
6332421420
7102023211
oct26722424
912263653
106006036
113432473
122017870
13132398a
14b24b08
157d9876
hex5ba514

6006036 has 48 divisors (see below), whose sum is σ = 14966784. Its totient is φ = 1870176.

The previous prime is 6006031. The next prime is 6006047. The reversal of 6006036 is 6306006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006031) by changing a digit.

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, 12741 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (311808).

Almost surely, 26006036 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 6006036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483392).

6006036 is an abundant number, since it is smaller than the sum of its proper divisors (8960748).

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

6006036 is a wasteful number, since it uses less digits than its factorization.

6006036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 6006036 is about 2450.7215264081. The cubic root of 6006036 is about 181.7729729719.

It can be divided in two parts, 60060 and 36, that multiplied together give a triangular number (2162160 = T2079).

The spelling of 6006036 in words is "six million, six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 463 564 926 1081 1389 1852 2162 2778 3243 4324 5556 6486 10649 12972 21298 21761 31947 42596 43522 63894 65283 87044 127788 130566 261132 500503 1001006 1501509 2002012 3003018 6006036