Search a number
-
+
102086334 = 2327810209
BaseRepresentation
bin1100001010110…
…11011010111110
321010002112010100
412011123122332
5202113230314
614044021530
72346501540
oct605333276
9233075110
10102086334
1152696a79
122a2318a6
13181c431c
14d7b5690
158e67c09
hex615b6be

102086334 has 24 divisors (see below), whose sum is σ = 252785520. Its totient is φ = 29167488.

The previous prime is 102086333. The next prime is 102086371. The reversal of 102086334 is 433680201.

It is a happy number.

102086334 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 633 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102086298 and 102086307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102086333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404979 + ... + 405230.

It is an arithmetic number, because the mean of its divisors is an integer number (10532730).

Almost surely, 2102086334 is an apocalyptic number.

102086334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102086334 is an abundant number, since it is smaller than the sum of its proper divisors (150699186).

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

102086334 is a wasteful number, since it uses less digits than its factorization.

102086334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810224 (or 810221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102086334 is about 10103.7782042165. The cubic root of 102086334 is about 467.3646594607.

The spelling of 102086334 in words is "one hundred two million, eighty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 810209 1620418 2430627 4861254 5671463 7291881 11342926 14583762 17014389 34028778 51043167 102086334