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102740897 = 723761929
BaseRepresentation
bin1100001111110…
…11001110100001
321011022210000102
412013323032201
5202300202042
614110032145
72355166100
oct607731641
9234283012
10102740897
1152aa3836
122a4a8655
131839323c
14d906037
159046b32
hex61fb3a1

102740897 has 24 divisors (see below), whose sum is σ = 124891560. Its totient is φ = 84188160.

The previous prime is 102740887. The next prime is 102740909. The reversal of 102740897 is 798047201.

It can be written as a sum of positive squares in 4 ways, for example, as 2401 + 102738496 = 49^2 + 10136^2 .

It is not a de Polignac number, because 102740897 - 212 = 102736801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102740897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102740837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110129 + ... + 111057.

It is an arithmetic number, because the mean of its divisors is an integer number (5203815).

Almost surely, 2102740897 is an apocalyptic number.

It is an amenable number.

102740897 is a deficient number, since it is larger than the sum of its proper divisors (22150663).

102740897 is an equidigital number, since it uses as much as digits as its factorization.

102740897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 102740897 is about 10136.1184385345. The cubic root of 102740897 is about 468.3614239415.

The spelling of 102740897 in words is "one hundred two million, seven hundred forty thousand, eight hundred ninety-seven".

Divisors: 1 7 37 49 61 259 427 929 1813 2257 2989 6503 15799 34373 45521 56669 110593 240611 396683 1684277 2096753 2776781 14677271 102740897