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9770940 = 22325192857
BaseRepresentation
bin100101010001…
…011110111100
3200101102012200
4211101132330
510000132230
6545231500
7146023464
oct45213674
920342180
109770940
115574063
123332590
13204152a
141424ba4
15cd0160
hex9517bc

9770940 has 72 divisors (see below), whose sum is σ = 31209360. Its totient is φ = 2467584.

The previous prime is 9770939. The next prime is 9770947. The reversal of 9770940 is 490779.

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

It is a junction number, because it is equal to n+sod(n) for n = 9770895 and 9770904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9770947) 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 23 ways as a sum of consecutive naturals, for example, 1992 + ... + 4848.

Almost surely, 29770940 is an apocalyptic number.

9770940 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 9770940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604680).

9770940 is an abundant number, since it is smaller than the sum of its proper divisors (21438420).

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

9770940 is a wasteful number, since it uses less digits than its factorization.

9770940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9770940 is about 3125.8502843227. The cubic root of 9770940 is about 213.7857639963.

The spelling of 9770940 in words is "nine million, seven hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2857 3420 5714 8571 11428 14285 17142 25713 28570 34284 42855 51426 54283 57140 85710 102852 108566 128565 162849 171420 217132 257130 271415 325698 488547 514260 542830 651396 814245 977094 1085660 1628490 1954188 2442735 3256980 4885470 9770940