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9772140 = 2235753439
BaseRepresentation
bin100101010001…
…110001101100
3200101110212010
4211101301230
510000202030
6545241220
7146030130
oct45216154
920343763
109772140
115574a54
123333210
132041c41
1414253c0
15cd06b0
hex951c6c

9772140 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2186496.

The previous prime is 9772129. The next prime is 9772141. The reversal of 9772140 is 412779.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 9772098 and 9772107.

It is not an unprimeable number, because it can be changed into a prime (9772141) 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 31 ways as a sum of consecutive naturals, for example, 22041 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 29772140 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 9772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

9772140 is an abundant number, since it is smaller than the sum of its proper divisors (22161300).

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

9772140 is a wasteful number, since it uses less digits than its factorization.

9772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 9772140 is about 3126.0422262023. The cubic root of 9772140 is about 213.7945155396.

The spelling of 9772140 in words is "nine million, seven hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 439 530 636 742 795 878 1060 1113 1317 1484 1590 1756 1855 2195 2226 2634 3073 3180 3710 4390 4452 5268 5565 6146 6585 7420 8780 9219 11130 12292 13170 15365 18438 22260 23267 26340 30730 36876 46095 46534 61460 69801 92190 93068 116335 139602 162869 184380 232670 279204 325738 349005 465340 488607 651476 698010 814345 977214 1396020 1628690 1954428 2443035 3257380 4886070 9772140