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102000252 = 2238500021
BaseRepresentation
bin1100001010001…
…10011001111100
321002221011001010
412011012121330
5202103002002
614042115220
72345662554
oct605063174
9232834033
10102000252
1152638332
122a1abb10
13181940a3
14d792164
158e4c46c
hex614667c

102000252 has 12 divisors (see below), whose sum is σ = 238000616. Its totient is φ = 34000080.

The previous prime is 102000247. The next prime is 102000259. The reversal of 102000252 is 252000201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8500021 = 102000252 / (1 + 0 + 2 + 0 + 0 + 0 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4249999 + ... + 4250022.

Almost surely, 2102000252 is an apocalyptic number.

102000252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000252 is an abundant number, since it is smaller than the sum of its proper divisors (136000364).

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

102000252 is a wasteful number, since it uses less digits than its factorization.

102000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500028 (or 8500026 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102000252 is about 10099.5174142134. The cubic root of 102000252 is about 467.2332576152.

Adding to 102000252 its reverse (252000201), we get a palindrome (354000453).

The spelling of 102000252 in words is "one hundred two million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 8500021 17000042 25500063 34000084 51000126 102000252