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9983920 = 245124799
BaseRepresentation
bin100110000101…
…011110110000
3200210020100211
4212011132300
510023441140
6553553504
7150601432
oct46053660
920706324
109983920
1156aa081
123415894
1320b745b
14147c652
15d232ea
hex9857b0

9983920 has 20 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 3993536.

The previous prime is 9983867. The next prime is 9983929. The reversal of 9983920 is 293899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983929) 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 3 ways as a sum of consecutive naturals, for example, 62320 + ... + 62479.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 29983920 is an apocalyptic number.

It is an amenable number.

9983920 is an abundant number, since it is smaller than the sum of its proper divisors (13228880).

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

9983920 is a wasteful number, since it uses less digits than its factorization.

9983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124812 (or 124806 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 9983920 is about 3159.7341660336. The cubic root of 9983920 is about 215.3279293524.

The spelling of 9983920 in words is "nine million, nine hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 124799 249598 499196 623995 998392 1247990 1996784 2495980 4991960 9983920