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102006534 = 2372346961
BaseRepresentation
bin1100001010001…
…11111100000110
321002221110122210
412011013330012
5202103202114
614042204250
72346020100
oct605077406
9232843583
10102006534
1152642023
122a1b3686
1318196bc6
14d794570
158e4e259
hex6147f06

102006534 has 24 divisors (see below), whose sum is σ = 237322008. Its totient is φ = 29144640.

The previous prime is 102006493. The next prime is 102006539. The reversal of 102006534 is 435600201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102006534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102006539) 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 11 ways as a sum of consecutive naturals, for example, 173187 + ... + 173774.

It is an arithmetic number, because the mean of its divisors is an integer number (9888417).

Almost surely, 2102006534 is an apocalyptic number.

102006534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102006534 is an abundant number, since it is smaller than the sum of its proper divisors (135315474).

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

102006534 is a wasteful number, since it uses less digits than its factorization.

102006534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346980 (or 346973 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102006534 is about 10099.8284143841. The cubic root of 102006534 is about 467.2428494185.

Adding to 102006534 its reverse (435600201), we get a palindrome (537606735).

The spelling of 102006534 in words is "one hundred two million, six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 346961 693922 1040883 2081766 2428727 4857454 7286181 14572362 17001089 34002178 51003267 102006534