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9944100 = 22335229127
BaseRepresentation
bin100101111011…
…110000100100
3200201012202000
4211323300210
510021202400
6553045300
7150344355
oct45736044
920635660
109944100
115682171
1233b6830
1320a22aa
14146bd2c
15d16600
hex97bc24

9944100 has 144 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2540160.

The previous prime is 9944093. The next prime is 9944117. The reversal of 9944100 is 14499.

9944100 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 Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78237 + ... + 78363.

Almost surely, 29944100 is an apocalyptic number.

9944100 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 9944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

9944100 is an abundant number, since it is smaller than the sum of its proper divisors (23387100).

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

9944100 is a wasteful number, since it uses less digits than its factorization.

9944100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9944100 is about 3153.4267075675. The cubic root of 9944100 is about 215.0412756521.

Adding to 9944100 its reverse (14499), we get a palindrome (9958599).

The spelling of 9944100 in words is "nine million, nine hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 29 30 36 45 50 54 58 60 75 87 90 100 108 116 127 135 145 150 174 180 225 254 261 270 290 300 348 381 435 450 508 522 540 580 635 675 725 762 783 870 900 1044 1143 1270 1305 1350 1450 1524 1566 1740 1905 2175 2286 2540 2610 2700 2900 3132 3175 3429 3683 3810 3915 4350 4572 5220 5715 6350 6525 6858 7366 7620 7830 8700 9525 11049 11430 12700 13050 13716 14732 15660 17145 18415 19050 19575 22098 22860 26100 28575 33147 34290 36830 38100 39150 44196 55245 57150 66294 68580 73660 78300 85725 92075 99441 110490 114300 132588 165735 171450 184150 198882 220980 276225 331470 342900 368300 397764 497205 552450 662940 828675 994410 1104900 1657350 1988820 2486025 3314700 4972050 9944100