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102327712 = 255983653
BaseRepresentation
bin1100001100101…
…10010110100000
321010112210020021
412012112112200
5202143441322
614053123224
72351525344
oct606262640
9233483207
10102327712
1152841363
122a329514
131827a156
14d839624
158eb44c7
hex61965a0

102327712 has 48 divisors (see below), whose sum is σ = 207658080. Its totient is φ = 49614592.

The previous prime is 102327707. The next prime is 102327721. The reversal of 102327712 is 217723201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 156378 + ... + 157030.

It is an arithmetic number, because the mean of its divisors is an integer number (4326210).

Almost surely, 2102327712 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 102327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103829040).

102327712 is an abundant number, since it is smaller than the sum of its proper divisors (105330368).

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

102327712 is an equidigital number, since it uses as much as digits as its factorization.

102327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 102327712 is about 10115.7160893335. The cubic root of 102327712 is about 467.7327229307.

The spelling of 102327712 in words is "one hundred two million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 59 83 118 166 236 332 472 653 664 944 1306 1328 1888 2612 2656 4897 5224 9794 10448 19588 20896 38527 39176 54199 77054 78352 108398 154108 156704 216796 308216 433592 616432 867184 1232864 1734368 3197741 6395482 12790964 25581928 51163856 102327712