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9994080 = 253547443
BaseRepresentation
bin100110000111…
…111101100000
3200210202022010
4212013331200
510024302310
6554112520
7150643155
oct46077540
920722263
109994080
115706778
12341b740
1320bbc75
14148222c
15d26320
hex987f60

9994080 has 96 divisors (see below), whose sum is σ = 32223744. Its totient is φ = 2602496.

The previous prime is 9994043. The next prime is 9994091. The reversal of 9994080 is 804999.

9994080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22339 + ... + 22781.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 29994080 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 9994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111872).

9994080 is an abundant number, since it is smaller than the sum of its proper divisors (22229664).

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

9994080 is a wasteful number, since it uses less digits than its factorization.

9994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9994080 is about 3161.3414874069. The cubic root of 9994080 is about 215.4009464331.

The spelling of 9994080 in words is "nine million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 443 470 480 564 705 752 886 940 1128 1329 1410 1504 1772 1880 2215 2256 2658 2820 3544 3760 4430 4512 5316 5640 6645 7088 7520 8860 10632 11280 13290 14176 17720 20821 21264 22560 26580 35440 41642 42528 53160 62463 70880 83284 104105 106320 124926 166568 208210 212640 249852 312315 333136 416420 499704 624630 666272 832840 999408 1249260 1665680 1998816 2498520 3331360 4997040 9994080