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13083336 = 2333717509
BaseRepresentation
bin110001111010…
…001011001000
3220121200222000
4301322023020
511322131321
61144231000
7216130560
oct61721310
926550860
1013083336
117426782
12446b460
132931126
141a47da0
151236826
hexc7a2c8

13083336 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3511296.

The previous prime is 13083313. The next prime is 13083337. The reversal of 13083336 is 63338031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13083337) 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 31 ways as a sum of consecutive naturals, for example, 25450 + ... + 25958.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 213083336 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 13083336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

13083336 is an abundant number, since it is smaller than the sum of its proper divisors (30980664).

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

13083336 is a wasteful number, since it uses less digits than its factorization.

13083336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13083336 is about 3617.0894376556. The cubic root of 13083336 is about 235.6348369788.

The spelling of 13083336 in words is "thirteen million, eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 509 612 714 756 918 952 1018 1071 1224 1428 1512 1527 1836 2036 2142 2856 3054 3213 3563 3672 4072 4284 4581 6108 6426 7126 8568 8653 9162 10689 12216 12852 13743 14252 17306 18324 21378 25704 25959 27486 28504 32067 34612 36648 42756 51918 54972 60571 64134 69224 77877 85512 96201 103836 109944 121142 128268 155754 181713 192402 207672 233631 242284 256536 311508 363426 384804 467262 484568 545139 623016 726852 769608 934524 1090278 1453704 1635417 1869048 2180556 3270834 4361112 6541668 13083336