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9922080 = 253572953
BaseRepresentation
bin100101110110…
…011000100000
3200200002112110
4211312120200
510020001310
6552355320
7150223230
oct45663040
920602473
109922080
115667673
1233a5b40
13209526c
141463cc0
15d0ed20
hex976620

9922080 has 96 divisors (see below), whose sum is σ = 35731584. Its totient is φ = 2267136.

The previous prime is 9922063. The next prime is 9922109. The reversal of 9922080 is 802299.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (372204).

Almost surely, 29922080 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 9922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865792).

9922080 is an abundant number, since it is smaller than the sum of its proper divisors (25809504).

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

9922080 is a wasteful number, since it uses less digits than its factorization.

9922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9922080 is about 3149.9333326279. The cubic root of 9922080 is about 214.8824307633.

The spelling of 9922080 in words is "nine million, nine hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 2953 3360 5906 8859 11812 14765 17718 20671 23624 29530 35436 41342 44295 47248 59060 62013 70872 82684 88590 94496 103355 118120 124026 141744 165368 177180 206710 236240 248052 283488 310065 330736 354360 413420 472480 496104 620130 661472 708720 826840 992208 1240260 1417440 1653680 1984416 2480520 3307360 4961040 9922080