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9920328 = 2331153709
BaseRepresentation
bin100101110101…
…111101001000
3200200000010120
4211311331020
510014422303
6552343240
7150215145
oct45657510
920600116
109920328
115666320
1233a4b20
132094522
1414633cc
15d0e553
hex975f48

9920328 has 64 divisors (see below), whose sum is σ = 27604800. Its totient is φ = 2945280.

The previous prime is 9920311. The next prime is 9920347. The reversal of 9920328 is 8230299.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 13638 + ... + 14346.

It is an arithmetic number, because the mean of its divisors is an integer number (431325).

Almost surely, 29920328 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 9920328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802400).

9920328 is an abundant number, since it is smaller than the sum of its proper divisors (17684472).

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

9920328 is a wasteful number, since it uses less digits than its factorization.

9920328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9920328 is about 3149.6552192264. The cubic root of 9920328 is about 214.8697823341.

The spelling of 9920328 in words is "nine million, nine hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 709 1166 1272 1418 1749 2127 2332 2836 3498 4254 4664 5672 6996 7799 8508 13992 15598 17016 23397 31196 37577 46794 62392 75154 93588 112731 150308 187176 225462 300616 413347 450924 826694 901848 1240041 1653388 2480082 3306776 4960164 9920328