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973728 = 25337223
BaseRepresentation
bin11101101101110100000
31211110201000
43231232200
5222124403
632512000
711163600
oct3555640
91743630
10973728
11605638
123ab600
13281292
141b4c00
151437a3
hexedba0

973728 has 144 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 266112.

The previous prime is 973727. The next prime is 973757. The reversal of 973728 is 827379.

It can be divided in two parts, 9 and 73728, that added together give a palindrome (73737).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (21168) is a multiple of the sum of its prime factors (56).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 973692 and 973701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973728.

It is not an unprimeable number, because it can be changed into a prime (973727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42325 + ... + 42347.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2973728 is an apocalyptic number.

973728 is a gapful number since it is divisible by the number (98) 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 973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

973728 is an abundant number, since it is smaller than the sum of its proper divisors (2473632).

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

973728 is a wasteful number, since it uses less digits than its factorization.

973728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 973728 is about 986.7765704555. The cubic root of 973728 is about 99.1164836443.

The spelling of 973728 in words is "nine hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 69 72 84 92 96 98 108 112 126 138 144 147 161 168 184 189 196 207 216 224 252 276 288 294 322 336 368 378 392 414 432 441 483 504 552 588 621 644 672 736 756 784 828 864 882 966 1008 1104 1127 1176 1242 1288 1323 1449 1512 1568 1656 1764 1932 2016 2208 2254 2352 2484 2576 2646 2898 3024 3312 3381 3528 3864 4347 4508 4704 4968 5152 5292 5796 6048 6624 6762 7056 7728 8694 9016 9936 10143 10584 11592 13524 14112 15456 17388 18032 19872 20286 21168 23184 27048 30429 34776 36064 40572 42336 46368 54096 60858 69552 81144 108192 121716 139104 162288 243432 324576 486864 973728