Search a number
-
+
973056 = 2837181
BaseRepresentation
bin11101101100100000000
31211102210010
43231210000
5222114211
632504520
711161620
oct3554400
91742703
10973056
11605087
123ab140
13280b96
141b4880
151434a6
hexed900

973056 has 72 divisors (see below), whose sum is σ = 2976064. Its totient is φ = 276480.

The previous prime is 973051. The next prime is 973057. The reversal of 973056 is 650379.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (973051) by changing a digit.

973056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5286 + ... + 5466.

2973056 is an apocalyptic number.

973056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488032).

973056 is an abundant number, since it is smaller than the sum of its proper divisors (2003008).

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

973056 is a wasteful number, since it uses less digits than its factorization.

973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 973056 is about 986.4360090751. The cubic root of 973056 is about 99.0936772736.

The spelling of 973056 in words is "nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 181 192 224 256 336 362 384 448 543 672 724 768 896 1086 1267 1344 1448 1792 2172 2534 2688 2896 3801 4344 5068 5376 5792 7602 8688 10136 11584 15204 17376 20272 23168 30408 34752 40544 46336 60816 69504 81088 121632 139008 162176 243264 324352 486528 973056