Base | Representation |
---|---|
bin | 1000110010111001100000 |
3 | 11100010201210 |
4 | 20302321200 |
5 | 1042240012 |
6 | 121230120 |
7 | 25411650 |
oct | 10627140 |
9 | 4303653 |
10 | 2305632 |
11 | 133528a |
12 | 932340 |
13 | 6295a4 |
14 | 440360 |
15 | 30823c |
hex | 232e60 |
2305632 has 96 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 635904.
The previous prime is 2305627. The next prime is 2305637. The reversal of 2305632 is 2365032.
It is an interprime number because it is at equal distance from previous prime (2305627) and next prime (2305637).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is an alternating number because its digits alternate between even and odd.
It is a junction number, because it is equal to n+sod(n) for n = 2305599 and 2305608.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2305637) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31548 + ... + 31620.
It is an arithmetic number, because the mean of its divisors is an integer number (74592).
22305632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).
2305632 is an abundant number, since it is smaller than the sum of its proper divisors (4855200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2305632 is a wasteful number, since it uses less digits than its factorization.
2305632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 21.
The square root of 2305632 is about 1518.4307689190. The cubic root of 2305632 is about 132.1082674640.
The spelling of 2305632 in words is "two million, three hundred five thousand, six hundred thirty-two".
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