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102712068 = 22322853113
BaseRepresentation
bin1100001111101…
…00001100000100
321011021022110200
412013310030010
5202243241233
614105250500
72355016044
oct607641404
9234238420
10102712068
1152a84108
122a493a30
1318383094
14d8d9724
15903d313
hex61f4304

102712068 has 18 divisors (see below), whose sum is σ = 259633374. Its totient is φ = 34237344.

The previous prime is 102712067. The next prime is 102712073. The reversal of 102712068 is 860217201.

It can be written as a sum of positive squares in only one way, i.e., 97180164 + 5531904 = 9858^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (102712067) 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 5 ways as a sum of consecutive naturals, for example, 1426521 + ... + 1426592.

Almost surely, 2102712068 is an apocalyptic number.

102712068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102712068 is an abundant number, since it is smaller than the sum of its proper divisors (156921306).

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

102712068 is a wasteful number, since it uses less digits than its factorization.

102712068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853123 (or 2853118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102712068 is about 10134.6962460648. The cubic root of 102712068 is about 468.3176125837.

Adding to 102712068 its reverse (860217201), we get a palindrome (962929269).

The spelling of 102712068 in words is "one hundred two million, seven hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2853113 5706226 8559339 11412452 17118678 25678017 34237356 51356034 102712068