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102756234 = 23721811931
BaseRepresentation
bin1100001111111…
…10111110001010
321011100120001110
412013332332022
5202301144414
614110231150
72355261600
oct607767612
9234316043
10102756234
1153004309
122a4b54b6
131839a209
14d90b870
15904b459
hex61fef8a

102756234 has 48 divisors (see below), whose sum is σ = 240510816. Its totient is φ = 29181600.

The previous prime is 102756221. The next prime is 102756239. The reversal of 102756234 is 432657201.

It is not an unprimeable number, because it can be changed into a prime (102756239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52249 + ... + 54179.

It is an arithmetic number, because the mean of its divisors is an integer number (5010642).

Almost surely, 2102756234 is an apocalyptic number.

102756234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102756234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120255408).

102756234 is an abundant number, since it is smaller than the sum of its proper divisors (137754582).

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

102756234 is a wasteful number, since it uses less digits than its factorization.

102756234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 102756234 is about 10136.8749622356. The cubic root of 102756234 is about 468.3847282016.

The spelling of 102756234 in words is "one hundred two million, seven hundred fifty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 1086 1267 1931 2534 3801 3862 5793 7602 8869 11586 13517 17738 26607 27034 40551 53214 81102 94619 189238 283857 349511 567714 699022 1048533 2097066 2446577 4893154 7339731 14679462 17126039 34252078 51378117 102756234