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9921285 = 3451117131
BaseRepresentation
bin100101110110…
…001100000101
3200200001110000
4211312030011
510014440120
6552351513
7150221013
oct45661405
920601400
109921285
115667010
1233a5599
132094aaa
1414638b3
15d0e990
hex976305

9921285 has 80 divisors (see below), whose sum is σ = 20699712. Its totient is φ = 4492800.

The previous prime is 9921283. The next prime is 9921299. The reversal of 9921285 is 5821299.

9921285 is a nontrivial binomial coefficient, being equal to C(4455, 2).

It is not a de Polignac number, because 9921285 - 21 = 9921283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9921283) 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 79 ways as a sum of consecutive naturals, for example, 75670 + ... + 75800.

Almost surely, 29921285 is an apocalyptic number.

9921285 is the 4454-th triangular number.

It is an amenable number.

9921285 is an abundant number, since it is smaller than the sum of its proper divisors (10778427).

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

9921285 is a wasteful number, since it uses less digits than its factorization.

9921285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9921285 is about 3149.8071369530. The cubic root of 9921285 is about 214.8766915065.

The spelling of 9921285 in words is "nine million, nine hundred twenty-one thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 131 135 153 165 187 255 297 393 405 459 495 561 655 765 891 935 1179 1377 1441 1485 1683 1965 2227 2295 2805 3537 4323 4455 5049 5895 6681 6885 7205 8415 10611 11135 12969 15147 17685 20043 21615 24497 25245 33405 38907 53055 60129 64845 73491 75735 100215 116721 122485 180387 194535 220473 300645 367455 583605 661419 901935 1102365 1984257 3307095 9921285