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8066136 = 23313103251
BaseRepresentation
bin11110110001010001011000
3120011210122210
4132301101120
54031104021
6444515120
7125363301
oct36612130
916153583
108066136
11460a231
12284baa0
131895580
1410dd7a8
15a94e76
hex7b1458

8066136 has 64 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2448000.

The previous prime is 8066129. The next prime is 8066141. The reversal of 8066136 is 6316608.

8066136 is a nontrivial binomial coefficient, being equal to C(4017, 2).

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, 32011 + ... + 32261.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 28066136 is an apocalyptic number.

8066136 is the 4016-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

8066136 is an abundant number, since it is smaller than the sum of its proper divisors (13948584).

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

8066136 is a wasteful number, since it uses less digits than its factorization.

8066136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8066136 is about 2840.0943646295. The cubic root of 8066136 is about 200.5496215306.

The spelling of 8066136 in words is "eight million, sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 251 309 312 412 502 618 753 824 1004 1236 1339 1506 2008 2472 2678 3012 3263 4017 5356 6024 6526 8034 9789 10712 13052 16068 19578 25853 26104 32136 39156 51706 77559 78312 103412 155118 206824 310236 336089 620472 672178 1008267 1344356 2016534 2688712 4033068 8066136