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8134416 = 243256489
BaseRepresentation
bin11111000001111100010000
3120022021022200
4133001330100
54040300131
6450203200
7126066333
oct37017420
916267280
108134416
114656564
122883500
1318ba684
14111a61a
15aaa2e6
hex7c1f10

8134416 has 30 divisors (see below), whose sum is σ = 22765470. Its totient is φ = 2711424.

The previous prime is 8134391. The next prime is 8134417. The reversal of 8134416 is 6144318.

8134416 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 1904400 = 2496^2 + 1380^2 .

It is a super-2 number, since 2×81344162 = 132337447322112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8134416.

It is not an unprimeable number, because it can be changed into a prime (8134417) 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 5 ways as a sum of consecutive naturals, for example, 28101 + ... + 28388.

It is an arithmetic number, because the mean of its divisors is an integer number (758849).

Almost surely, 28134416 is an apocalyptic number.

It is an amenable number.

8134416 is an abundant number, since it is smaller than the sum of its proper divisors (14631054).

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

8134416 is a wasteful number, since it uses less digits than its factorization.

8134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56503 (or 56494 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8134416 is about 2852.0897601583. The cubic root of 8134416 is about 201.1139177515.

The spelling of 8134416 in words is "eight million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 56489 112978 169467 225956 338934 451912 508401 677868 903824 1016802 1355736 2033604 2711472 4067208 8134416