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98945 = 5711257
BaseRepresentation
bin11000001010000001
312000201122
4120022001
511131240
62042025
7561320
oct301201
9160648
1098945
1168380
1249315
1336062
14280b7
151e4b5
hex18281

98945 has 16 divisors (see below), whose sum is σ = 148608. Its totient is φ = 61440.

The previous prime is 98939. The next prime is 98947. The reversal of 98945 is 54989.

98945 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 98945 - 24 = 98929 is a prime.

It is a super-2 number, since 2×989452 = 19580226050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (9288).

298945 is an apocalyptic number.

98945 is the 257-th pentagonal number.

It is an amenable number.

98945 is a deficient number, since it is larger than the sum of its proper divisors (49663).

98945 is a wasteful number, since it uses less digits than its factorization.

98945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 12960, while the sum is 35.

The square root of 98945 is about 314.5552415713. Note that the first 3 decimals coincide. The cubic root of 98945 is about 46.2520817178.

Subtracting from 98945 its reverse (54989), we obtain a triangular number (43956 = T296).

The spelling of 98945 in words is "ninety-eight thousand, nine hundred forty-five".

Divisors: 1 5 7 11 35 55 77 257 385 1285 1799 2827 8995 14135 19789 98945