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9950940 = 2232559937
BaseRepresentation
bin100101111101…
…011011011100
3200201120010100
4211331123130
510021412230
6553141100
7150403326
oct45753334
920646110
109950940
11568731a
1233ba790
1320a543c
141470616
15d18660
hex97d6dc

9950940 has 72 divisors (see below), whose sum is σ = 30728880. Its totient is φ = 2605824.

The previous prime is 9950921. The next prime is 9950957. The reversal of 9950940 is 490599.

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

It is a junction number, because it is equal to n+sod(n) for n = 9950895 and 9950904.

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, 10152 + ... + 11088.

It is an arithmetic number, because the mean of its divisors is an integer number (426790).

Almost surely, 29950940 is an apocalyptic number.

9950940 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 9950940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364440).

9950940 is an abundant number, since it is smaller than the sum of its proper divisors (20777940).

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

9950940 is a wasteful number, since it uses less digits than its factorization.

9950940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9950940 is about 3154.5110556154. The cubic root of 9950940 is about 215.0905693776.

The spelling of 9950940 in words is "nine million, nine hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 937 1062 1180 1770 1874 2124 2655 2811 3540 3748 4685 5310 5622 8433 9370 10620 11244 14055 16866 18740 28110 33732 42165 55283 56220 84330 110566 165849 168660 221132 276415 331698 497547 552830 663396 829245 995094 1105660 1658490 1990188 2487735 3316980 4975470 9950940