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9820972 = 227289563
BaseRepresentation
bin100101011101…
…101100101100
3200110221211201
4211131230230
510003232342
6550255244
7146322400
oct45355454
920427751
109820972
1155a8707
123357524
13205b235
141439100
15cdedb7
hex95db2c

9820972 has 36 divisors (see below), whose sum is σ = 20253240. Its totient is φ = 4154304.

The previous prime is 9820969. The next prime is 9820997. The reversal of 9820972 is 2790289.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17163 + ... + 17725.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 29820972 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 9820972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126620).

9820972 is an abundant number, since it is smaller than the sum of its proper divisors (10432268).

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

9820972 is a wasteful number, since it uses less digits than its factorization.

9820972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9820972 is about 3133.8430081930. The cubic root of 9820972 is about 214.1500388981.

The spelling of 9820972 in words is "nine million, eight hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 563 623 1126 1246 2252 2492 3941 4361 7882 8722 15764 17444 27587 50107 55174 100214 110348 200428 350749 701498 1402996 2455243 4910486 9820972