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8243136 = 2632111301
BaseRepresentation
bin11111011100011111000000
3120111210110100
4133130133000
54102240021
6452402400
7130031316
oct37343700
916453410
108243136
114720210
122916400
131927cc5
1411480b6
15acc626
hex7dc7c0

8243136 has 84 divisors (see below), whose sum is σ = 25795224. Its totient is φ = 2496000.

The previous prime is 8243107. The next prime is 8243149. The reversal of 8243136 is 6313428.

It is a happy number.

It is a super-2 number, since 2×82431362 = 135898582228992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5686 + ... + 6986.

It is an arithmetic number, because the mean of its divisors is an integer number (307086).

Almost surely, 28243136 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 8243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897612).

8243136 is an abundant number, since it is smaller than the sum of its proper divisors (17552088).

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

8243136 is a wasteful number, since it uses less digits than its factorization.

8243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 8243136 is about 2871.0862056023. The cubic root of 8243136 is about 202.0059469543.

The spelling of 8243136 in words is "eight million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1301 1584 2112 2602 3168 3903 5204 6336 7806 10408 11709 14311 15612 20816 23418 28622 31224 41632 42933 46836 57244 62448 83264 85866 93672 114488 124896 128799 171732 187344 228976 249792 257598 343464 374688 457952 515196 686928 749376 915904 1030392 1373856 2060784 2747712 4121568 8243136