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9444960 = 253257937
BaseRepresentation
bin100100000001…
…111001100000
3122202212001100
4210001321200
54404214320
6534234400
7143165220
oct44017140
918685040
109444960
115371158
1231b5a00
131c59045
14137c080
15c68790
hex901e60

9444960 has 144 divisors (see below), whose sum is σ = 36874656. Its totient is φ = 2156544.

The previous prime is 9444949. The next prime is 9444977. The reversal of 9444960 is 694449.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612 + ... + 10548.

It is an arithmetic number, because the mean of its divisors is an integer number (256074).

Almost surely, 29444960 is an apocalyptic number.

9444960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437328).

9444960 is an abundant number, since it is smaller than the sum of its proper divisors (27429696).

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

9444960 is a wasteful number, since it uses less digits than its factorization.

9444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9444960 is about 3073.2653643966. The cubic root of 9444960 is about 211.3813696848.

It can be divided in two parts, 9444 and 960, that added together give a square (10404 = 1022).

The spelling of 9444960 in words is "nine million, four hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 937 1008 1120 1260 1440 1680 1874 2016 2520 2811 3360 3748 4685 5040 5622 6559 7496 8433 9370 10080 11244 13118 14055 14992 16866 18740 19677 22488 26236 28110 29984 32795 33732 37480 39354 42165 44976 52472 56220 59031 65590 67464 74960 78708 84330 89952 98385 104944 112440 118062 131180 134928 149920 157416 168660 196770 209888 224880 236124 262360 269856 295155 314832 337320 393540 449760 472248 524720 590310 629664 674640 787080 944496 1049440 1180620 1349280 1574160 1888992 2361240 3148320 4722480 9444960