Search a number
-
+
102541869 = 3815629
BaseRepresentation
bin1100001110010…
…10101000101101
321010221200000000
412013022220231
5202222314434
614101454513
72353406613
oct607125055
9233850000
10102541869
1152978251
122a411439
1318323781
14d8936b3
159007b99
hex61caa2d

102541869 has 18 divisors (see below), whose sum is σ = 153814830. Its totient is φ = 68356872.

The previous prime is 102541853. The next prime is 102541891. The reversal of 102541869 is 968145201.

102541869 is a `hidden beast` number, since 102 + 541 + 8 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102515625 + 26244 = 10125^2 + 162^2 .

It is not a de Polignac number, because 102541869 - 24 = 102541853 is a prime.

It is a super-2 number, since 2×1025418692 = 21029669796026322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102541819) 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 17 ways as a sum of consecutive naturals, for example, 1254 + ... + 14375.

Almost surely, 2102541869 is an apocalyptic number.

It is an amenable number.

102541869 is a deficient number, since it is larger than the sum of its proper divisors (51272961).

102541869 is an frugal number, since it uses more digits than its factorization.

102541869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 102541869 is about 10126.2959170666. The cubic root of 102541869 is about 468.0587943886.

The spelling of 102541869 in words is "one hundred two million, five hundred forty-one thousand, eight hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 15629 46887 140661 421983 1265949 3797847 11393541 34180623 102541869