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8113320 = 2332531727
BaseRepresentation
bin11110111100110010101000
3120021012101100
4132330302220
54034111240
6445521400
7125650665
oct36746250
916235340
108113320
114641726
122873260
1318b0ba7
141112a6c
15aa3e30
hex7bcca8

8113320 has 96 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 2090880.

The previous prime is 8113307. The next prime is 8113321. The reversal of 8113320 is 233118.

It is a super-2 number, since 2×81133202 = 131651922844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8113293 and 8113302.

It is not an unprimeable number, because it can be changed into a prime (8113321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10797 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 28113320 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 8113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

8113320 is an abundant number, since it is smaller than the sum of its proper divisors (19143000).

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

8113320 is a wasteful number, since it uses less digits than its factorization.

8113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8113320 is about 2848.3890183751. The cubic root of 8113320 is about 200.9399092667.

Adding to 8113320 its reverse (233118), we get a palindrome (8346438).

The spelling of 8113320 in words is "eight million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 727 744 930 1116 1240 1395 1454 1860 2181 2232 2790 2908 3635 3720 4362 5580 5816 6543 7270 8724 10905 11160 13086 14540 17448 21810 22537 26172 29080 32715 43620 45074 52344 65430 67611 87240 90148 112685 130860 135222 180296 202833 225370 261720 270444 338055 405666 450740 540888 676110 811332 901480 1014165 1352220 1622664 2028330 2704440 4056660 8113320