Search a number
-
+
982605141 = 3376185229
BaseRepresentation
bin111010100100010…
…101110101010101
32112110221111212000
4322210111311111
54003021331031
6241300345513
733231002010
oct7244256525
92473844760
10982605141
11464722871
122350a5299
1312875977b
1494700377
155b3e73e6
hex3a915d55

982605141 has 32 divisors (see below), whose sum is σ = 1690963200. Its totient is φ = 552277440.

The previous prime is 982605137. The next prime is 982605157. The reversal of 982605141 is 141506289.

982605141 is a `hidden beast` number, since 9 + 8 + 2 + 605 + 1 + 41 = 666.

It is not a de Polignac number, because 982605141 - 22 = 982605137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 982605096 and 982605105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982605101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31086 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (52842600).

Almost surely, 2982605141 is an apocalyptic number.

It is an amenable number.

982605141 is a deficient number, since it is larger than the sum of its proper divisors (708358059).

982605141 is a wasteful number, since it uses less digits than its factorization.

982605141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85306 (or 85300 counting only the distinct ones).

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

The square root of 982605141 is about 31346.5331575918. The cubic root of 982605141 is about 994.1677648273.

The spelling of 982605141 in words is "nine hundred eighty-two million, six hundred five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 11529 85229 255687 596603 767061 1789809 2301183 5198969 5369427 15596907 16108281 36392783 46790721 109178349 140372163 327535047 982605141