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102754269 = 32101113041
BaseRepresentation
bin1100001111111…
…10011111011101
321011100110100200
412013332133131
5202301114034
614110214113
72355253062
oct607763735
9234313320
10102754269
1153002892
122a4b4339
1318399357
14d90ac69
15904aa99
hex61fe7dd

102754269 has 12 divisors (see below), whose sum is σ = 149893692. Its totient is φ = 67824000.

The previous prime is 102754259. The next prime is 102754277. The reversal of 102754269 is 962457201.

102754269 is a `hidden beast` number, since 102 + 7 + 542 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87048900 + 15705369 = 9330^2 + 3963^2 .

It is not a de Polignac number, because 102754269 - 25 = 102754237 is a prime.

It is a super-2 number, since 2×1027542692 = 21116879595448722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102754229) 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 11 ways as a sum of consecutive naturals, for example, 55612 + ... + 57429.

It is an arithmetic number, because the mean of its divisors is an integer number (12491141).

Almost surely, 2102754269 is an apocalyptic number.

It is an amenable number.

102754269 is a deficient number, since it is larger than the sum of its proper divisors (47139423).

102754269 is a wasteful number, since it uses less digits than its factorization.

102754269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113148 (or 113145 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 102754269 is about 10136.7780384104. The cubic root of 102754269 is about 468.3817425535.

The spelling of 102754269 in words is "one hundred two million, seven hundred fifty-four thousand, two hundred sixty-nine".

Divisors: 1 3 9 101 303 909 113041 339123 1017369 11417141 34251423 102754269