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305921 = 71129137
BaseRepresentation
bin1001010101100000001
3120112122102
41022230001
534242141
610320145
72412620
oct1125401
9515572
10305921
11199930
12129055
13a9325
147d6b7
156099b
hex4ab01

305921 has 16 divisors (see below), whose sum is σ = 397440. Its totient is φ = 228480.

The previous prime is 305917. The next prime is 305927. The reversal of 305921 is 129503.

It is not a de Polignac number, because 305921 - 22 = 305917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305893 and 305902.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305921.

It is not an unprimeable number, because it can be changed into a prime (305927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2165 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2305921 is an apocalyptic number.

It is an amenable number.

305921 is a deficient number, since it is larger than the sum of its proper divisors (91519).

305921 is a wasteful number, since it uses less digits than its factorization.

305921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 305921 is about 553.1012565525. The cubic root of 305921 is about 67.3808414407.

The spelling of 305921 in words is "three hundred five thousand, nine hundred twenty-one".

Divisors: 1 7 11 29 77 137 203 319 959 1507 2233 3973 10549 27811 43703 305921