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8006196 = 22311131463
BaseRepresentation
bin11110100010101000110100
3120001202102210
4132202220310
54022144241
6443333420
7125023452
oct36425064
916052383
108006196
1145791a0
122821270
1318741c3
1410c59d2
15a82316
hex7a2a34

8006196 has 48 divisors (see below), whose sum is σ = 20579328. Its totient is φ = 2402400.

The previous prime is 8006179. The next prime is 8006203. The reversal of 8006196 is 6916008.

It is an Ulam number.

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, 17061 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (428736).

Almost surely, 28006196 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 8006196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289664).

8006196 is an abundant number, since it is smaller than the sum of its proper divisors (12573132).

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

8006196 is a wasteful number, since it uses less digits than its factorization.

8006196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8006196 is about 2829.5222211532. The cubic root of 8006196 is about 200.0516200091.

It can be divided in two parts, 800 and 6196, that added together give a palindrome (6996).

The spelling of 8006196 in words is "eight million, six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 463 524 786 926 1389 1441 1572 1852 2778 2882 4323 5093 5556 5764 8646 10186 15279 17292 20372 30558 60653 61116 121306 181959 242612 363918 667183 727836 1334366 2001549 2668732 4003098 8006196