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102756340 = 22513073931
BaseRepresentation
bin1100001111111…
…10111111110100
321011100120012101
412013332333310
5202301200330
614110231444
72355262111
oct607767764
9234316171
10102756340
11530043a5
122a4b5584
131839a28b
14d90b908
15904b4ca
hex61feff4

102756340 has 24 divisors (see below), whose sum is σ = 216008352. Its totient is φ = 41060640.

The previous prime is 102756337. The next prime is 102756349. The reversal of 102756340 is 43657201.

It is a junction number, because it is equal to n+sod(n) for n = 102756299 and 102756308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102756349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24175 + ... + 28105.

It is an arithmetic number, because the mean of its divisors is an integer number (9000348).

Almost surely, 2102756340 is an apocalyptic number.

102756340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102756340 is an abundant number, since it is smaller than the sum of its proper divisors (113252012).

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

102756340 is a wasteful number, since it uses less digits than its factorization.

102756340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 102756340 is about 10136.8801906701. The cubic root of 102756340 is about 468.3848892584.

The spelling of 102756340 in words is "one hundred two million, seven hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1307 2614 3931 5228 6535 7862 13070 15724 19655 26140 39310 78620 5137817 10275634 20551268 25689085 51378170 102756340