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9772020 = 223252332
BaseRepresentation
bin100101010001…
…101111110100
3200101110200200
4211101233310
510000201040
6545240500
7146026566
oct45215764
920343620
109772020
115574955
123333130
132041b7b
141425336
15cd0630
hex951bf4

9772020 has 54 divisors (see below), whose sum is σ = 29769558. Its totient is φ = 2594688.

The previous prime is 9772019. The next prime is 9772027. The reversal of 9772020 is 202779.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 9771876 = 12^2 + 3126^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9772027) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 41824 + ... + 42056.

Almost surely, 29772020 is an apocalyptic number.

9772020 is a gapful number since it is divisible by the number (90) 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 9772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884779).

9772020 is an abundant number, since it is smaller than the sum of its proper divisors (19997538).

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

9772020 is a wasteful number, since it uses less digits than its factorization.

9772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 9772020 is about 3126.0230325447. The cubic root of 9772020 is about 213.7936404175.

Adding to 9772020 its reverse (202779), we get a palindrome (9974799).

The spelling of 9772020 in words is "nine million, seven hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6990 8388 10485 13980 20970 41940 54289 108578 162867 217156 271445 325734 488601 542890 651468 814335 977202 1085780 1628670 1954404 2443005 3257340 4886010 9772020