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9950080 = 27572221
BaseRepresentation
bin100101111101…
…001110000000
3200201111221111
4211331032000
510021400310
6553133104
7150400660
oct45751600
920644844
109950080
115686708
1233ba194
1320a4c2a
1414701a0
15d1828a
hex97d380

9950080 has 64 divisors (see below), whose sum is σ = 27197280. Its totient is φ = 3409920.

The previous prime is 9950063. The next prime is 9950081. The reversal of 9950080 is 800599.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9950081) 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 7 ways as a sum of consecutive naturals, for example, 3370 + ... + 5590.

Almost surely, 29950080 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 9950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598640).

9950080 is an abundant number, since it is smaller than the sum of its proper divisors (17247200).

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

9950080 is a wasteful number, since it uses less digits than its factorization.

9950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 9950080 is about 3154.3747399445. The cubic root of 9950080 is about 215.0843728703.

The spelling of 9950080 in words is "nine million, nine hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2221 2240 4442 4480 8884 11105 15547 17768 22210 31094 35536 44420 62188 71072 77735 88840 124376 142144 155470 177680 248752 284288 310940 355360 497504 621880 710720 995008 1243760 1421440 1990016 2487520 4975040 9950080