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102326688 = 2532675303
BaseRepresentation
bin1100001100101…
…10000110100000
321010112201211100
412012112012200
5202143423223
614053114400
72351522352
oct606260640
9233481740
10102326688
1152840612
122a328a00
1318279849
14d8390d2
158eb4043
hex61961a0

102326688 has 72 divisors (see below), whose sum is σ = 295390368. Its totient is φ = 33593472.

The previous prime is 102326687. The next prime is 102326699. The reversal of 102326688 is 886623201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102326681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16645 + ... + 21947.

It is an arithmetic number, because the mean of its divisors is an integer number (4102644).

Almost surely, 2102326688 is an apocalyptic number.

102326688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102326688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147695184).

102326688 is an abundant number, since it is smaller than the sum of its proper divisors (193063680).

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

102326688 is a wasteful number, since it uses less digits than its factorization.

102326688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 102326688 is about 10115.6654748959. The cubic root of 102326688 is about 467.7311627150.

Adding to 102326688 its reverse (886623201), we get a palindrome (988949889).

The spelling of 102326688 in words is "one hundred two million, three hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 5303 6432 9648 10606 15909 19296 21212 31818 42424 47727 63636 84848 95454 127272 169696 190908 254544 355301 381816 509088 710602 763632 1065903 1421204 1527264 2131806 2842408 3197709 4263612 5684816 6395418 8527224 11369632 12790836 17054448 25581672 34108896 51163344 102326688