Search a number
-
+
280672 = 2572179
BaseRepresentation
bin1000100100001100000
3112021000021
41010201200
532440142
610003224
72246200
oct1044140
9467007
10280672
11181967
12116514
139a9a2
1474400
1558267
hex44860

280672 has 36 divisors (see below), whose sum is σ = 646380. Its totient is φ = 119616.

The previous prime is 280639. The next prime is 280673. The reversal of 280672 is 276082.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280673) 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 5 ways as a sum of consecutive naturals, for example, 1479 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2280672 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 280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323190).

280672 is an abundant number, since it is smaller than the sum of its proper divisors (365708).

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

280672 is a wasteful number, since it uses less digits than its factorization.

280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 280672 is about 529.7848619959. The cubic root of 280672 is about 65.4736214508.

The spelling of 280672 in words is "two hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 179 196 224 358 392 716 784 1253 1432 1568 2506 2864 5012 5728 8771 10024 17542 20048 35084 40096 70168 140336 280672